Kinematics Chapter Questions
1.
When you drive a car and take a quick look on the speedometer, what do you see velocity or
speed?
2.
A ball is thrown vertically up and is caught at the starting point; compare the traveled distance
and displacement of the ball.
3.
Can an object with a constant acceleration reverse it direction of travel? Explain.
4.
Can an object have a varying velocity when its speed is constant? Explain.
5.
What quantity describes how quickly you change your speed?
6.
Can an object have a southward velocity and a northward acceleration?
7.
If the speedometer of a car reads constant speed 50 mi/h, does it mean that the car has
constant velocity?
8.
What does the slope of the curve on a displacement-versus-time graph represent?
9.
What does the slope of the curve on a velocity-versus-time-time graph represent?
Chapter Problems
Motion at Constant Speed
Class Work
1.
A rabbit can cover a distance of 80 m in 5 s. What is the speed of the rabbit?
2.
During the first 50 s a truck traveled at constant speed of 25 m/s. Find the distance that it
traveled.
3.
An elevator ascends at a constant speed of 4 m/s, how much time is required for the elevator
in order to travel 120 m upwards?
4.
A racing car can complete a 900 m long lap in 15 s. What is the speed of the car?
5.
It is known that a shark can travel at a speed of 15 m/s. How far can a shark go in 10 seconds?
6.
How long does it take an airplane to fly 1500 miles if it maintains a speed of 600 miles per
hour?
7.
A person can run 280 m in 68 s. At what speed are they running?
8.
How far does a runner travel if they maintain a speed of 8.5 m/s for 240 s?
Homework
9.
A sportsman can develop a maximum speed of 12 m/s when he is swimming in a pool.
Calculate the time interval that is required to travel a distance of 25 m.
10.
A polar bear walks a distance of 160 meters in 60 seconds. What was its speed?
11.
A train travels 120 seconds at a speed of 50 m/s. How far did it go?
12.
How long will it take a runner to travel a distance of 1000 m at a speed of 12 m/s?
13.
A car travels a distance of 1600 km in 24 hours. What was its speed?
14.
A sailboat travels a distance of 600 m in 40 seconds. What speed is it going?
15.
What distance will a car traveling at a speed of 50 km/hr cover in 0.25 hr?
16.
How long will it take a ball to roll 10 meters along the floor at a speed of 0.5 m/s?
Position, Displacement and Velocity
Class Work
17.
An object moves from the position +16 m to the position +47 m in 12 s. What is its total
displacement? What is its average velocity?
18.
A balloon drifts 140 m toward the west in 45 s; then the wind suddenly changes and the
balloon flies 90 m toward the east in the next 25 s.
a. What distance did it travel during the first 45 s?
b. What distance did it travel during the next 25 s?
c. What total distance did it travel?
d. What was its average speed during the first 45 s?
e. What was its average speed during the next 25 s?
f. What was its average speed for the entire trip?
g. What was its displacement during the first 45 s?
h. What was its displacement during the next 25 s?
i. What was its total displacement?
j. What was its average velocity during the first 45 s?
k. What was its average velocity during the next 25 s?
l. What was its average velocity for the entire trip?
Homework
19.
An object moves from the position +34 m to the position -15 m in 15 s. What is its total
displacement? What is its average velocity?
20.
A balloon drifts 30 m toward the east in 10 s; then the wind suddenly changes and the balloon
flies 50 m toward the west in the next 5 s.
a. What distance did it travel during the first 10 s?
b. What distance did it travel during the next 5 s?
c. What total distance did it travel?
d. What was its average speed during the first 10 s?
e. What was its average speed during the next 5 s?
f. What was its average speed for the entire trip?
g. What was its displacement during the first 10 s?
h. What was its displacement during the next 5 s?
i. What was its total displacement?
j. What was its average velocity during the first 10 s?
k. What was its average velocity during the next 5 s?
l. What was its average velocity for the entire trip?
21.
An object moves from the position -12 m to the position +17 m in 9 s. What is its total
displacement? What is its average velocity?
22.
An object starts at a point +25 m goes 40 m toward +X direction in 5 s then suddenly changes
its direction to the opposite and covers 50 m in 10 seconds.
a. Where is the object after the first 5 s?
b. Where is the object after the next 10 s?
c. What total distance did it travel?
d. What was its average speed during the first 5 s?
e. What was its average speed during the next 10 s?
f. What was its average speed for the entire trip?
g. What was its displacement during the first 5 s?
h. What was its displacement during the next 10 s?
i. What was its total displacement?
j. What was its average velocity during the first 5 s?
k. What was its average velocity during the next 10 s?
l. What was its average velocity for the entire trip?
Problem Solving with Kinematics Equation 1
Class Work
23.
If an object accelerates from rest, with a constant acceleration of 5.4 m/s2, what will its
velocity be after 28s?
24.
An object is traveling at a constant velocity of 15 m/s when it experiences a constant
acceleration of 3.5 m/s2 for a time of 11 s. What will its velocity be after that acceleration?
25.
An object is moving at a velocity of 23 m/s. It accelerates to a velocity of 85 m/s over a time of
8.3 s. What acceleration did it experience?
26.
An object initially at rest experiences an acceleration of 9.8 m/s2. How much time will it take
it to achieve a velocity of 58 m/s?
27.
An object accelerates to a velocity of 34 m/s over a time of 1.3 s. The acceleration it
experienced was 15 m/s2. What was its initial velocity?
28.
If an object accelerates from rest, what will its velocity be after 2.1 s if it has a constant
acceleration of 9.8 m/s2?
29.
A car is driving at a velocity of 24 m/s. If its brakes can supply an acceleration of -5.0 m/s2,
how much time will be required to bring the car to a stop?
Homework
30.
A car’s speedometer reads 20 m/s after accelerating, from a standing start, for 25s. What was
the magnitude of its acceleration?
31.
A train departs from its station at a constant acceleration of 5 m/s2. What is the speed of the
train at the end of 20s?
32.
An object accelerates to a velocity of 230 m/s over a time of 2.5 s. The acceleration it
experienced was 42 m/s2. What was its initial velocity?
33.
If an object accelerates from rest, what will its velocity be after 12.3 s if it has a constant
acceleration of 4.6 m/s2?
34.
An object increases its velocity from 22 m/s to 36 m/s in 5 s. What is the acceleration of the
object?
35.
A bicyclist is traveling at a speed of 5 m/s when it suddenly accelerates, at a constant rate of
0.6 m/s2, for a time of 10s. What is the speed of the bicycle at the end of that 10s?
36.
An object, initially traveling at a velocity of 52 m/s, experiences an acceleration of -9.8 m/s2.
How much time will it take it to come to rest?
37.
An object accelerates at a rate of -3.2 m/s to a velocity of 5 m/s over a time of 10 s. What was
its initial velocity?
Problem Solving with g= 9.8 m/s2
Class Work
38.
What is the velocity of a dropped object after it has fallen for 3.0s?
39.
A ball is thrown straight up with a velocity of 16 m/s; what will be its velocity 2.0s after being
released?
40.
A stone is thrown down off a bridge with a velocity of 5.6 m/s. What is its velocity after 3
seconds have passed?
41.
A ball is thrown straight up from the ground with an unknown velocity. It reaches its highest
point after 3.5 s. With what velocity did it leave the ground?
42.
An arrow is launched straight up with a velocity of 12.6 m/s. How long before the arrow
returned to the ground?
Homework
43.
What is the velocity of a dropped object after it has fallen for 12 s?
44.
45.
A ball is thrown straight down with a velocity of 12 m/s; what will be its velocity 2.0 s after
being released?
A ball is thrown straight up with a velocity of 12 m/s; what will be its velocity 2.0 s after being
released?
46.
An arrow is launched straight up from the ground with an initial velocity of 23.4 m/s. How
long until it reaches its highest point?
47.
A ball is thrown straight up from the ground with an unknown velocity. It returns to the
ground after 4.0 s. With what velocity did it leave the ground?
Mixed Problem Solving
Examples
48.
An object is moving with an initial velocity of 19 m/s. It is then subject to a constant
acceleration of 2.5 m/s2 for 15 s. How far will it have traveled during the time of its
acceleration?
49.
An object accelerates from rest, with a constant acceleration of 8.4 m/s2, what will its velocity
be after 11s?
Class Work
50.
An object is traveling at a constant velocity of 25 m/s when it experiences a constant
acceleration of 1.5 m/s2 for a time of 38 s. What will its velocity be after that acceleration?
51.
An object is moving at a velocity of 8.8 m/s. It accelerates to a velocity of 35 m/s over a time of
6.3 s. What acceleration did it experience?
52.
An object accelerates from rest, with a constant acceleration of 7.4 m/s2, what will its velocity
be after 5.4 s?
Homework
53.
An object is traveling at a constant velocity of 11 m/s when it experiences a constant
acceleration of 1.5 m/s2 for a time of 14 s. What will its velocity be after that acceleration?
54.
An object is moving at a velocity of 5.8 m/s. It accelerates to a velocity of 25 m/s over a time of
3.3 s. What acceleration did it experience?
Creating Graphs
Examples
55.
Starting at the position, x0 = 4 m, you travel at a constant velocity of +2 m/s for 6s.
a.
Determine your position at the times of 0s; 2s; 5s; and 6s.
b.
Draw the Position versus Time for your travel during this time.
c.
Draw the Velocity versus Time graph for your trip.
56.
Starting at the position, x0 = -15 m, you travel at a velocity of +5 m/s for 3s.
a.
Determine your position at the times of 0s; 1s; 2s; and 3s.
b.
Draw the Position versus Time for your travel during this time.
c.
Draw the Velocity versus Time graph for your trip.
Class Work
57.
Starting at the position, x0 = 12 m, you travel at a velocity of +10 m/s for 5 s.
a.
Determine your position at the times of 0s; 1s; 4s; and 5s.
b.
Draw the Position versus Time for your travel during this time.
c.
Draw the Velocity versus Time graph for your trip.
58.
Starting at the position, x0 = -25 m, you travel at a velocity of -5 m/s for 3 s.
a.
Determine your position at the times of 0s; 1s; 2s; and 3s.
b.
Draw the Position versus Time for your travel during this time.
c.
Draw the Velocity versus Time graph for your trip.
Homework
59.
Starting at the position, x0 = 5 m, you travel at a velocity of -10 m/s for 8 s.
a.
Determine your position at the times of 0s; 1s; 2s; and 8s.
b.
Draw the Position versus Time for your travel during this time.
c.
Draw the Velocity versus Time graph for your trip.
60.
Starting at the position, x0 = -17 m, you travel at a velocity of 12 m/s for 6 s.
a.
Determine your position at the times of 0s; 2s; 4s; and 6s.
b.
Draw the Position versus Time for your travel during this time.
c.
Draw the Velocity versus Time graph for your trip.
61.
Starting at the position, x0 = 10 m, you travel at a velocity of 4 m/s for 2 s.
a.
Determine your position at the times of 0s; 0.5s; 1s; and 1.5s.
b.
Draw the Position versus Time for your travel during this time.
c.
Draw the Velocity versus Time graph for your trip.
Analyzing Graphs
Class Work
62. The position versus time graph, below, describes the motion of three different cars moving along the x-axis.
a. Describe, in words, the velocity of each of the cars. Make sure you discuss each car’s speed
and direction.
b. Calculate the velocity of each of the cars.
c. Draw, on one set of axes, the Velocity versus Time graph for each of the three cars.
63. The velocity versus time graph, below, describes the motion of three different cars moving along
the x-axis.
a. Describe, in words, the velocity of each of the cars. Make sure you discuss each car’s speed
and direction.
b. Calculate the displacement of each car during its trip.
c. Calculate the distance traveled by each car during its trip.
d. Compare your answers to b and c.
64. The position versus time
graph, right, describes
the motion of three
different cars moving
along the x-axis.
a. Describe, in words,
the velocity of each
of the cars. Make
sure you discuss
each car’s speed
and direction.
b. Calculate the
velocity of each of
the cars.
c. Draw, on one set of axes, the Velocity versus Time graph for each of the three cars.
65. The velocity versus time
graph, right, describes the
motion of three different
cars moving along the xaxis.
a. Describe, in words,
the velocity of each
of the cars. Make
sure you discuss
each car’s speed and
direction.
b. Calculate the
displacement of
each car during its 6
s trip.
c. Calculate the distance traveled by each car during its 6 s trip
d. Compare your answers to b and c.
Homework
66. A graph of the velocity as a function of time for two cars is presented below.
a. What is the initial velocity of each car?
b. What is the acceleration of each car?
c. What is the traveled distance of the car I at the end of 25 s?
d. What is the traveled distance of the car II at the end of 20 s
e. Sketch graphs, on one set of axes, of each car’s acceleration as a function of time.