Name: Block: Unit 2 Problems: Kinematics · Name: _ Block: _ Unit 2 Problems: Kinematics c) A hiker climbs a mountain slowly, takes a break at the top, then descends quickly.

Name: ______________ Block: ______________ Unit 2 Problems: Kinematics

2A: Distance, Position and Displacement 1) While John is traveling along an interstate highway, he notices a 160 mile marker as he

passes through town. Later John passes another mile marker, 115. a) What is the distance between town and John’s current location? b) What is John’s current position?

2) A physics book is moved 5 cm to the left. It is then moved 5 cm to the right.

a) What distance did the book travel in total? b) What is the total displacement of the book? c) How are the initial and final positions of the book related? d) Can the displacement of a person’s trip be zero if the distance traveled in the trip

is non-zero? Explain your answer.

3) A student throws a rock straight upwards at shoulder level, which is 1.65 meters above the ground. (1 foot = .305 m)

a) What is the displacement of the rock in meters when it hits the ground? b) What is the displacement of the rock in feet when it hits the ground?

4) You are told that a person has walked a distance of 500 meters. What can you safely say

about the person’s final position relative to their initial position? Be as specific as possible in your explanation.

5) Can the distance that a person travels be zero if their displacement is non-zero? Explain

your answer.

6) If the displacement of an object is 300 m North, what can you say about the distance traveled by the object? Explain your answer.

7) Which of the following are conventionally positive directions?:

a) West b) forwards c) North d) backwards e) South

f) right g) up h) left i) East j) Down

Physics CP1 Forcier/Kalafsky 1 2017-2018


2B: X-T Graphs I 8) You are playing games on your Playstation. The following is Crash Bandicott’s

position-time graph as he runs to the left and right on N. Sanity Beach. The center of the beach is at x = 25 m.

a) At what time(s) is Crash moving to the right? b) At what time(s) is Crash moving to the left? c) At what time(s) is Crash standing still? d) Does Crash start out at the center of the beach? e) When does Crash reach the center of the beach? f) Is Crash moving faster at 40 seconds or 20 seconds? g) Is Crash moving faster at 50 seconds or 95 seconds? h) Crash is moving the fastest from _____ seconds to _____ seconds. i) Crash has the smallest non-zero speed from _____ seconds to _____ seconds. j) Describe Crash’s motion from 0 to 100 s in words. Be as specific as possible.

9) Sketch and label an x-t graph for the following motions:

a) A tome of forgotten lore sits on a high shelf. b) A squirrel quickly runs back and forth across the yard.



c) A hiker climbs a mountain slowly, takes a break at the top, then descends quickly. d) A car travels the speed limit on Route 84 W. e) A toy rocket is standing still until the propellent pushes it upwards very quickly.

10) You set a toy car down on the floor and record its motion using a sonic detector. The raw

data is shown on a Logger Pro graph below.

a) Why might the lines in this graph be less smooth than the lines in previous

problems? b) Sketch an idealized x-t graph of this data on another page. c) Approximately what time(s) is the object moving in the positive direction? d) Approximately what time(s) is the object moving in the negative direction? e) Approximately what time(s) is the object stopped? f) If you are standing at x = 0, describe how the distance between you and the car

changes over the course of the data collection. Use specific times in your description.



2C: X-T Graphs II and Velocity 11) Answer the following questions about speed and velocity. Make sure to explain your

answer. a) Can two marbles be rolling at the same speed but have different velocities? b) Can two marbles be rolling at the same velocity but different speeds? c) Can two marbles be rolling in the same direction but have different velocities?

12) Sketch and label an x-t graph for the following motions of various characters around the

Planet Zebes stage. a) Samus Aran runs to the right at a constant speed. She then quickly turns around

and runs to the left at a constant speed. b) Kirby is running to the left at a constant speed. He then slows to a stop gradually

(at a constant rate of slowing down). c) Captain Falcon starts at rest and speeds up at a constant rate, moving to the left.

He then gets hit by a Green Shell, sending him flying back to the right at a fast speed.

d) Pikachu is initially at rest at the left end of the stage. He then uses quick attack, instantly teleporting him to the right end of the stage.

e) Ness walks slowly to the right at a constant speed. An item then pops up in front of him. He then increases his rightward velocity at a constant rate to get closer to the item.

f) Luigi is initially running to the right at a constant speed. He then suddenly stops as Jigglypuff sings him to sleep.

g) Fox runs to the right at a constant speed, then stops, then starts running to the right at a constant speed again.



13) For each of the following x-t Graphs: a) Tell whether the object is moving to the right or is moving to the left or is stopped b) Tell whether the object is speeding up, slowing down, or staying at a constant

velocity.

i) ii)

iii) iv)

2D: V-t Graphs I

14) Sketch a v-t graph for the following motions: a) A city bus is travelling down a hill at a constant velocity. b) A wheelbarrow full of delicious veggies is speeding up uniformly while moving

in the positive direction. c) Mr. Kalafsky is speeding up as he runs away from a crowd of angry physics

students in the negative direction. d) A straw-carrying camel is slowing down uniformly while moving South.



e) The wheelbarrow of veggies from the previous problem is pushed South at a constant rate.

15) For each of the following v-t Graphs:

a) Tell whether the object is moving forwards or is moving backwards or is stopped. b) Tell whether the object is speeding up, slowing down, or staying at a constant

speed.

i) (Line is along x-axis)

ii)

iii)

iv)



2E: Acceleration 16) A car is traveling on an interstate highway. Can the car have a negative velocity and a

positive acceleration? Explain your answer with an example.

17) Tell whether the velocity AND acceleration for each person is positive, negative, or zero: a) Martha drives East on I-495 at a constant speed. b) Shubert rappels down the side of a mountain, slowing down as he nears the base. c) Penelope sits on the bench at the soccer game, cheering on her teammates. d) Eduardo jumps out of a plane with a skydiving instructor, going faster and faster

as time passes. e) The helicopter that Buzz sits in rises, slowing down as it reaches its cruising

altitude. f) Mario runs backwards through the Donut Plains at a constant speed. g) As Jad travels South on Route 7, he increases the speed of his car from 45 mph to

60 mph. h) Harry runs West on the bike path, keeping a constant speed.

18) Can the velocity of an object change when its acceleration is constant? Explain your

answer.

19) Can the acceleration of an object change when its velocity is constant? Explain your answer.

20) Does a fast-moving object always have a larger acceleration than a slower object?

Explain your answer using an example.

21) Can an object have a positive velocity and a negative acceleration? Give an example in explaining your answer.

22) If an object has a negative acceleration, is it slowing down? Explain your answer.

23) If an object is speeding up, does it have a positive acceleration? Explain your answer.



2F: V-t Graphs II and A-t Graphs

24) Kirby is flying through the level Green Greens on his Warp Star. If Kirby flies over 2900 m/s, his Warp Star will explode. Assume that Kirby is moving East/West.

a) At what times is Kirby moving East? b) What is Kirby’s velocity at 12 minutes? (in standard units) c) What is Kirby’s speed at 3 minutes? (in standard units) d) Is Kirby’s acceleration greater at 2 seconds or 19 seconds? e) At what times is Kirby’s speed increasing? f) At what times does Kirby reach a speed of 1000 m/s? g) Does Kirby’s Warp Star explode? If so, when? h) When is Kirby accelerating? i) At what time does Kirby’s maximum speed occur? j) What is Kirby’s velocity at t = 290 seconds? (in standard units) k) At what times is Kirby’s speed decreasing? l) How many times does Kirby change his direction? m) At what time does Kirby have a zero acceleration?



25) Sketch a v-t graph for the following motions: a) An iguana is slowing down at a constant rate while moving to the East. b) Space X’s new rocket moves up in the air with a positive acceleration. c) A Super Ball falls down a ramp with a negative acceleration. d) A baseball is rolling to the right when it hits a patch of concrete which provides a

negative acceleration. e) Sheriff Woody is riding his horse to the West chasing a bandit. He gradually

comes to a stop. He then starts riding East speeding up at a constant rate. f) Buzz starts out on the ground and then begins to fly into the air, increasing his

speed at a constant rate. He starts to slow down and then begins to fall back towards the ground picking up speed.

26) For each section of the following v-t Graphs:

a) Tell whether the object is moving to the right or is moving to the left or is stopped.

b) Tell whether the object is speeding up, slowing down, or staying at a constant speed.

c) Tell whether the acceleration of the object it positive, negative or zero.

i)

ii)



iii)

iv)

2G: Scalars and Vectors 27) Classify the following as scalars or vectors.

a) Displacement b) 5 m/s North c) Distance d) Amount of Money e) An acceleration magnitude of 5 m/s2

f) 12 N to the left g) Acceleration h) Number of sticks of gum in Marblehead

28) Sketch a picture with velocity and acceleration vectors for each situation in the previous

problem. Vectors with no magnitude can be represented with a dot. 2H: Kinematics Problem Solving and 2I: Horizontal Kinematics

29) Suppose you are given the initial and final velocities of an object as well as the acceleration that the object experiences. What equation would you use to find the displacement of the object?

30) Suppose you are given the displacement and initial velocity of an object as well as the

time over which the object accelerates. What equation would you use to find the acceleration of the object?



31) Can an object travelling in the negative direction with a negative acceleration have a positive displacement? Explain your answer using words and/or equations.

32) Can an object travelling in the positive direction with a positive acceleration have a

positive displacement? Explain your answer using words and/or equations.

33) Can an object travelling in the positive direction with a negative acceleration have a negative displacement? Explain your answer using words and/or equations.

34) Can an object travelling in the negative direction with a positive acceleration have a

negative displacement? Explain your answer using words and/or equations.

35) Your friend Mark is trying to solve the following physics problem: “A train, originally moving at 4 m/s North, accelerates for 5 seconds until it is moving at 2 m/s North. What is the acceleration of the train?” Mark plugs the numbers in his calculator and gives the final answer of 0.4 m/s2 North. Why should Mark redo his calculation?

36) A biathlete shoots a bullet out of his .306 rifle. The length of the rifle is .61 m. The 2 g

bullet is accelerated at 4*105 m/s2 as it travels out of the rifle. a) How long does it take the bullet to reach the end of the rifle? b) How fast is the bullet moving as it exits the rifle?

37) A college student driving home for the holidays starts driving at 8 AM to make a 419

mile trip, practically all of which is on non-urban interstate highway. If she wants to arrive home no later than 3 PM.

a) What must be her minimum constant speed in miles per hour? b) Will she have to exceed the 65 mph speed limit?

38) Your friend is giving you a ride west down Pleasant Street in his Nissan Maxima. The car

in front of you is going about 25 mph. Your friend decides to tailgate the car in front of you. You estimate that the front of your car is about 2 meters from the bumper of the other car. (1 mi = 1600 m)

a) What is the velocity of both cars in m/s? b) The driver in front of you sees a squirrel and then slams on the breaks. Draw a

picture of the situation. c) What is the minimum acceleration (magnitude and direction) of your car where

you will not hit the stopped car? d) If the maximum acceleration of your brakes is 8.3 m/s2 do you end up hitting the

other car? If so how many seconds does it take to hit the other car?



2J: Vertical Kinematics 39) The following masses are dropped in a vacuum chamber on Earth from a height of 2

meters. Which ones will fall faster? Rank them using the symbols < , > , and = . a) 5 kg stone b) .5 kg feather c) 20 kg skeleton d) 1000 kg dump truck e) 1 g paperclip

40) You are visiting Paris and decide that you want to measure the height of the Eiffel tower

using a penny and the timer app on your phone. From the top of the Eiffel Tower you drop the penny and time how long it takes to hit the ground. You decide to neglect air resistance.

a) If you measure that the penny takes 9.82 seconds to hit the ground, how tall is the Eiffel Tower?

b) How fast is the penny going when it hits the ground? c) Lookup the actual height of the Eiffel Tower. What may account for the

difference in your calculated value?

41) Kyle, flying a helicopter, releases a bag of sweets on Halloween for the children below. He drops the bag as the helicopter is rising at a speed of 5 m/s. If the bag hit the ground at 40 m/s...

a) How long is the bag of candy in the air? b) What was the displacement of the candy? c) How high above the ground was the bag released?

42) Philip J. Fry aboard the Planet Express delivery pillows to the planet Stumbos IV. The

acceleration on this planet is 10 times what it is on Earth. Fry throws a pillow (1.3 kg) dowards at 2 m/s off of a 60 m hill.

a) What is the velocity of the pillow at it hits the surface of the planet? b) How long does it take the pillow to hit the surface of the planet?



Challenge Problems: 2E:

1)

2)

The following graph describes the motion of a marble over 10 seconds.



2H/2I: 3) A torpedo fired from a submerged submarine is propelled through the water with a speed

of 20.0 m/s and explodes upon impact with a target 2000. m away. If the sound of the impact is 101.4 s after the torpedo was fired, what is the speed of sound in water?

4) The brakes of a car produce a maximum acceleration of -25 ft/s2 . A woman driving in a

30. mi/hr speed zone hits her car brakes in a panic stop and leaves a long skid mark of 60. feet. A police officer on the scene looks at the skid mark and gives the woman a ticket for speeding. She claims that she was not speeding. Was the officer correct in giving her a ticket? Your answer must be backed with evidence.

2J:

5) A water rocket (mass 200. g) and a toy solid fuel rocket (1200.g) are both launched with a speed of 30.0 m/s

a) Determine the maximum altitude reached by the water rocket b) Determine the maximum altitude reached by the solid fuel rocket

6)


Name: Block: Unit 2 Problems: Kinematics · Name: _____ Block: _____ Unit 2 Problems: Kinematics c) A hiker climbs a mountain slowly, takes a break at the top, then descends quickly.

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Name: Block: Unit 2 Problems: Kinematics · Name: _ Block: _ Unit 2 Problems: Kinematics c) A hiker climbs a mountain slowly, takes a break at the top, then descends quickly.