1
CP
Physics
Name _______________________
Unit 1 Kinematics
Class _________ Date _________
Review Guide
Equations:
1. Consider the following position vs time graph.
a. Determine the average velocity of the object.
2. A bird travels toward the origin, then suddenly reverses direction.
a. Find the average velocity from
t = 30s to t = 40s.
b. Find the average velocity from
t = 40s to t = 50s.
c. Determine the average speed from t = 30s to t = 50s.
d. Determine the average velocity from t = 30s
to t = 50s.
e. Find the velocity at t = 35 seconds.
3. Given the following position vs. time graph, draw a velocity vs. time graph
a
v
f
v
i
t
v
f
v
i
at
d
v
i
t
1
2
at
2
v
f
2
v
i
2
2
ad
d
v
i
v
f
2
t
v
_
di
s
p
.
t
2
4. Co
nsider the position vs. time graph below for cyclists A and B.
a. Do the cyclists start at the same point? How do you know? If not, which is ahead?
b. At
t= 7s, which cyclist is ahead? How do you know?
c. Which cyclist is travelling faster at 3s? How do you know?
d. Are their velocities equal at any time? How do you know?
e. What is happening at the intersection of lines A and B?
4. Given the follow
ing velocity

time graphs, sketch corresponding position

time graphs.
5. Convert the following velocity

time graphs to position

time graphs.
3
6.
For each of the position vs time graphs shown below, draw the corresponding v vs t, a vs t graph
7. Calculate the
displacement
and
acceleration
of the object
which motion is described by the following graph.
Problems:
8.
What is the gain in speed per second for a freely falling object on Earth?
9.
What is the velocity acquired in free fall of an object 0.75 s after being dropped from rest?
10.
What is the distance fallen for a freely falling object 1.5 sec.
after being dropped from rest?
11.
A ball is thrown straight up with an initial speed of 35 m/s. How high does it go and how long is it in the air?
4
12.
A jet takes 20 s to go from v
i
= 0 to v
f
= 300
km/hr at constant acceleration. What is the accelerati
on of the jet? How far did
the jet go?
13.
If a car is cruising with a velocity of 2.0 m/s to the left suddenly accelerates at a rate of 1 m/s
2
to the right for 3 s, what is its
new velocity?
14.
A car travels 5 meters in the first second, 5 meters in the s
econd second, and 5 meters during the third second. What is it’s
acceleration?
15.
What two units of measurement are necessary for describing speed?
16.
What kind of speed is
shown
by a vehicles speedometer?
17.
Distinguish between instantaneous speed and avera
ge speed.
18.
How far does a horse travel if it gallops at an average speed of 25 km/h for 30 min?
19.
If a car moves at a constant velocity, does it also move with a constant speed?
20.
An object can accelerate without changing it’s speed. True or False, Exp
lain.
21.
The rate at which velocity changes is called?
22.
“She moves at a constant speed in a constant direction.” Say the same sentence in fewer words.
23.
The speedometer of a car moving to the east reads 100 km/h. It passes another car that moves to the w
est at 100 km/h. Do
both cars have the same speed? Do they have the same velocity?
24.
During a certain period of time, the speedometer of a car reads a constant 60 km/h. Does this indicate a constant speed? A
constant velocity?
25.
A skydiver jumps out o
f an airplane and is in free fall. Between t = 2s and t = 3s the skydiver will fall about how far?
26.
Which has the greater acceleration, an airplane that goes from 1000 km/h to 1005 km/h in 10 seconds or a skateboard that
goes from zero to 5 km/h in 1 s
econd?
27.
How high can you throw a gerbil if it’s starting velocity is 10 m/s (assume no air resistance)?
28.
If an object in free

fall were equipped with a speedometer on Mercury where g = 3 m/s
2
, by how much would the speedometer
reading increase?
5
29.
A
rock is thrown to the top of a flag pole with an initial upward velocity of 19.6 m/s. The rock stops at the top of the pole.
How
far above the point of release is the flagpole's top?
30.
A penny is dropped from the top of a tall building. It takes 5.5 se
conds to hit the ground. How fast is the penny going just
before it hits the ground. How tall is the building?
31.
Momenta Dizziness is driving along at the legal limit of 104.6 km/h (65 mi/h) and she spaces out for 0.500 seconds. How far
did she travel (
blind) during that half

second?
32.
A spacecraft traveling at 1200 m/s is uniformly accelerated at the rate of 150 m/s/s by burning its second

stage rocket. If the
rocket burns for 18 seconds, what is the final velocity of the craft?
33.
With what
initial
vertical velocity does a kangaroo take off if it can jump vertically to a height of
3
.5 meters?
34.
What will the hang time be for a Nolan McNair punt that is kicked
with an initial velocity
of 20 m/s ?
Assume the punt goes
straight up in the air.
35.
W
hat speed must Nolan kick the ball in order to have a hang time of 2 s?
36.
If Nolan kicks the ball 80 meters straight up into the air what will be it’s hang time and what is the speed of the ball when
he
kicked it?
37.
What does the area under the curve
on a velocity vs. time graph represent?
38.
What does the slope of the line on a position vs. time graph represent?
39.
What does the slope of the line on a velocity vs. time graph represent?
6
40.
Find the x and y components of the following vectors:
a.
210 N at 300º
b. 94 m/s at 10º
c
. 20 m/s
2
at
3
0º
41.
From the x and y components given, find the direction and magnitude of the resultant.
a. F
y
= 100 N, F
x
= 305 N
c. a
x
=

15 m/s
2
, a
y
=

6 m/s
42.
A boats speedometer reads 4.0 m/s. The boa
t
is traveling in a river with a current of 3.0 m/s due west.
a)
How fast is the boat traveling relative to the land
if the boat is headed due north?
b)
If the river is
5
00 m wide how long does it take to
reach the opposite shore?
c)
How far
down river will the boat be when it reaches the
other side?
43.
A rock is thrown horizontally 10 m/s off of a 20
0
m tall bridge.
a)
How long does it take the ball to hit the water
b)
How far horizontally does the ball travel?
44.
A gol
f ball is hit at an angle of 40
with a velocity of 80 m/s.
a)
How far does the golf ball travel?
b)
How long is it in the air?
c)
How high does it go?
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