Kinematics Problem Set #1:
Position, Displacement, Velocity, Distance, Speed
1.
Complete the following table:
Quantity
Symbol
Base Unit(s)
Vector/Scalar
Example
position
displacement
distance
velocity
speed
mass
time
acc
eleration
force
2.
All cars are equipped with a speedometer. Does this instrument measure a scalar
or vector quantity? Explain.
3.
Calculate the displacement
and dis
tance
of each of the following
sets of
positions:
a.

4 km to +5 km
b.
5 km [E
] + 11 km
[E
]
c.
+3 km to

5 km to +7 km
d.
0rigin to 23 km [N] to 23
km [S]
4.
Under what conditions will the magnitude of the displacement for a moving
object be the same as the distance it travels?
5.
Calculate the average velocity and av
erage speed for each part of #3
if the time
interval between each set of positions was 1.
5
h
.
6.
Which of the following are examples of uniform motion? In those cases where the
motion is not uniform, suggest why it is not.
a.
A feather drifts down
ward at a constant speed in a quiet room.
b.
A leaf falls from a tree
c.
A rock is dropped from the edge of a bridge and allowed to fall to the
water below.
d.
A satellite orbits the earth at a constant speed.
e.
An elevator moves from the second to the e
leventh floor at a constant
speed.
f.
A car travels around a gradual bend in the road at a constant 100 km/h.
7.
What minimum average velocity must you travel with in order to drive 3.00x10
2
km in under 95 minutes?
8.
A goalkeeper for a hockey tea
m has a reaction time of 0.40 s. A puck traveling at
25 m/s bounces off an opposing player’s pads without slowing down. How far
away must this occur to give the goalkeeper a chance to make a save?
9.
The sun is located a distance of 1.49x10
11
m from
Earth. Light travels at 3.00x10
8
m/s. How much time will elapse between the time a solar flare erupts from the
surface of the sun and the time it is seen by an astronomer on Earth?
10.
Calculate how far a light year is.
11.
In the course of fo
otball game, the Mustangs
begin at the opposing team’s 40 yrd
line. For the next 4 plays they make a 15 yrd gain, followed by a 7 yrd loss,
followed by a 17 yrd gain, and finally a
15
yrd gain. The entire set of 4 plays took
8.5 minutes to complete. Determ
ine the following:
a.
Did the Mustangs score a touchdown? Justify by determining their final
position.
b.
Determine the total distance the ball traveled.
c.
Find the ball’s average velocity throughout the 4 plays.
d.
Find the ball’s average speed
throughout the 4 plays.
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