Linear Motion Review
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Know the difference between a vector and a scalar.
Know the difference between distance and displacement.
Know the difference between speed and velocity.
Know the difference between average speed and instantaneous speed and be able to calculate
these values or find them on a graph.
Know what happens to the motion of an object when velocity is +/- and when acceleration is +/-.
Know how to read graphs.
Know the significance of the slopes of position v. time and velocity v. time graphs.
Know what the area under the curve on a velocity v time graph represents.
Be able to sketch graphs for velocity v time and acceleration v time from a position v time graph.
Be able to sketch graphs for position v time and acceleration v time from a velocity v time graph.
Be able to sketch graphs for velocity v time and position v time from an acceleration v time
graph.
Know what free fall is.
Know what the graphs of an object in free fall look like.
Be able to solve problems such as the following:
1. Sally rides her bike at a steady rate of 15 km/h. If she maintains this speed for 24 minutes, how
far will she travel? Answer in units of km.
2. The black mamba is one of the world’s most poisonous snakes, and with a maximum speed of
18.0 km/h, it is also the fastest. Suppose a mamba waiting in a hide-out sees prey and begins
slithering toward it with a velocity of +18.0 km/h. After 2.50 s, the mamba realizes that its prey
can move faster than it can. The snake then turns around and slowly returns to its hide-out in
12.0 s. Calculate
a. the mamba’s average velocity during its return to the hideout.
b. the mamba’s average velocity for the complete trip.
c. the mamba’s average speed for the complete trip.
3. In 1993, bicyclist Rebecca Twigg of the United States traveled 3.00 km in 217.347 s. Suppose
Twigg travels the entire distance at her average speed and that she then accelerates at –1.72 m/s2
to come to a complete stop after crossing the finish line. How long does it take Twigg to come to a
stop?
4. Suppose a butterfly flies at a speed of 6.0 m/s. The butterfly then increases its speed at a
constant rate of 1.4 m/s2 for 3.0 s. How far does the butterfly travel during this time?
5.
A ship accelerates +2.67 m/s2, so that after 15.0 s its displacement is +6.00 x102 m. Calculate
the ship’s initial velocity just before the acceleration.
6. The skid marks left by the decelerating jet-powered car The Spirit of America were 9.60 km long.
If the car’s acceleration was –2.00 m/s2, what was the car’s initial velocity?
7. A rock is dropped from a 100.0 m high cliff. How long does it take to hit the ground?
8. What is the velocity of the rock as it strikes the ground from the above question?
9. At a construction site a wrench strikes the ground with a velocity of –24 m/s. From what height
was it dropped?
10. How long did it take the wrench from the above problem to hit the ground?
11. Draw the velocity v time graph for the following position v time graphs
position
time
position
time
position
time
12.
Draw the acceleration v time and position v time graphs for the
following velocity v time graphs
velocity
time
velocity
time
velocity
time