ch2 Kinematics NOTES.notebook 1 Chapter 2 Kinematics ( How things move) Distance (d) : How far you have traveled Displacement (x) : How far you have traveled from where you started Both are the same unless you turn or go backwards! Both are measured in meters (m) or kilometers (km) 10 m 40 m 20 m 5m 20 m 40 m 10 m Distance:____________ Displacement:____________ 15 m 100 m 160 m Distance:____________ Displacement:____________ 15 m 70 m 55 m Distance:____________ Displacement:____________
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Distance: Displacement: Distance: Displacement: Distance ......ch2 Kinematics NOTES.notebook 1 Chapter 2 Kinematics (How things move) Distance (d) : How far you have traveled Displacement
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ch2 Kinematics NOTES.notebook
1
Chapter 2 Kinematics (How things move)
Distance (d) : How far you have traveled
Displacement (x) : How far you have traveledfrom where you started
Both are the same unless you turn or go backwards!
Both are measured in meters (m) or kilometers (km)
10 m
40 m
20 m5 m
20 m 40 m
10 m
Distance:____________
Displacement:____________
15 m
100 m
160 m
Distance:____________
Displacement:____________
15 m
70 m
55 m
Distance:____________
Displacement:____________
ch2 Kinematics NOTES.notebook
2
Speed
s = ΔdΔt
No direction(Scalar)
Velocity
v = ΔxΔtDirection(Vector)
Both are the same unless you turn or go backwards
ΔxTOTALΔtTOTAL
vAVG =
12,500 min 40 s
23,000 min ?? s
How long to travel the last part if the jet's average velocity was 546 m/s for the entire trip?
[25 s]
+
+
200 m in 10 seconds 80 m in 2 seconds
Average speed (velocity)?
[23.3 m/s]
units
ch2 Kinematics NOTES.notebook
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ch2 Kinematics NOTES.notebook
4
Acceleration (this you feel)
a = ΔvΔt+
+
+ v
+ a
a = 0+ v = constant
a + v
a and vopposite direction opposite signs
same direction same signs
1 "g" = 9.80 m/s2
av
a v
v a av
v0 = 27 m/s
What is the acceleration of the plane? in g's?
How long (time) does it take to stop?
[2.99 m/s2 , 0.31 g]
[9.03 s]
122 mv = 0
Car starts from rest...velocity after 4 seconds?
a = 2 m/s2
ch2 Kinematics NOTES.notebook
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Car starts from rest...how long to go 30 m?
What is its velocity after 30 m?
[5.5 s]
[11 m/s]
Dragster starts from rest...travels 400 m in 5.0 s. What is its acceleration?
ch2 Kinematics NOTES.notebook
6
Multistep problemsA bike rider starts at rest. Accelerates at 0.7 m/s2 for 10 seconds and then travels at a constant velocity for 40 seconds.
A. What is her velocity after accelerating?
B. How much distance does she travel while accelerating?
C. How much distance does she travel at constant velocity?
A car traveling at 4.0 m/s accelerates at 2.5 m/s2. How long will it take to travel 13 m?
[2.0 s]
Allie is driving at 40 m/s when she passes a cop (at rest). He waits 1.2 seconds and begins chasing her. The cop accelerates at 2.6 m/s2. How long until he catches her?
[30.9 s]
Find x....v0 = 0 a = 6.0 m/s2
xtakes 5 s to golast of x1
4
[ 3660 m]
ch2 Kinematics NOTES.notebook
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Vertical Motion a = 9.8 m/s2
v or v0 = 0
tUP = tDOWN
always!!
only at top!!
A ball is dropped from a 15 m high building...
How long until it hits the ground?
With what velocity will it strike the ground?
15 m
[1.75 s]
[17.1 m/s]
The dropped sandbag reaches the ground going 25 m/s....How high is the balloon?
[31.9 m]
ch2 Kinematics NOTES.notebook
9
How high will the ball go?
9.5 m/s
A
BHow long will it spend in the air?
What will be its velocity when it is 3.0 m high?
[4.6 m]
[1.9 s]
[± 5.6 m/s]
What will be the velocity when the soccer ball reaches the ground?