Kinematics Problem Set #1: Position, Displacement, Velocity, Distance, Speed

brontidegrrrMechanics

Nov 14, 2013 (3 years and 8 months ago)

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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.