Exam>Uniformly Accelerated Particle Model Test

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Name Date

Pd

Uniformly Accelerated Particle Model Test

position (m)

1. Consider the position vs time graph for objects A and B below.

B A

5

2.5

time (s) a. Draw qualitative motion maps for objects A and B. Include v and a vectors. vel: A:

0m

+

acc: vel: 0m

B:

+

acc:

b. Describe how the motion of object A is different from that of object B.

c. Qualitatively compare the following quantities for objects A and B. If A has the greater value write "A" in the blank.

If B has the greater value write "B".

If A=B write "=". _____ Displacement from t = 0 s to t = 5s _____ Displacement from t = 0 s to t = 2.5s _____ Displacement from t = 2.5 s to t = 5s _____ Average velocity from t = 0 s to t = 5s _____ Average velocity from t = 0 s to t = 2.5s _____ Instantaneous velocity at t = 5s ©Modeling Instruction 2013

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U3 Uniform Acceleration - test v3.1

velocity (m/s)

2. Consider the velocity vs time graph for objects A and B below.

8 6 4 2 0

A B

2.

5 5 time (s) a. Draw qualitative motion maps for objects A and B. Include v and a vectors.

0

vel: A:

0m

+

acc: vel: 0m

B:

+

acc: b. Qualitatively compare the following quantities for objects A and B. If A has the greater value write "A" in the blank.

If B has the greater value write "B".

If A=B write "=". _____ Instantaneous velocity at t = 0 s _____ Instantaneous velocity at t = 2.5s _____ Instantaneous velocity at t = 5s _____ Average velocity from t = 0s to t = 2.5s _____ Average velocity from t = 0s to t = 5s _____ Displacement from t = 0 to t = 2.5s _____ Displacement from t = 0 to t = 5s _____ Acceleration at t = 5s. Briefly explain:

©Modeling Instruction 2013

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U3 Uniform Acceleration - test v3.1

3. From the given graph in each of the sets below, sketch the shape of the corresponding graphs. a.

position

c.

position

position

b.

tim e

©Modeling Instruction 2013

tim e

3

velocity

tim e

tim e

acceleration

tim e

velocity

tim e

acceleration

acceleration

velocity

tim e

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tim e

tim e

U3 Uniform Acceleration - test v3.1

4. Your teacher's car can go from rest to 25 m/s (≈60mph) in 10 seconds. The car's velocity changes at a uniform rate. a. Draw a qualitative motion map to represent the motion of the car during the 10 s.

Include v and a vectors. vel: 0m

+

acc:

velocity (m/s)

b. Construct a quantitative velocity vs time graph to represent the motion of the car.

time (s)

c. Determine the acceleration of the car. Show work; use units.

d. How far does the car travel in these 10 seconds? Explain or show how you got your answer.

e. How fast is the car going 3 seconds after it starts? Explain or show how you got your answer.

©Modeling Instruction 2013

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U3 Uniform Acceleration - test v3.1

t=0

5. The drawing below shows a moving object that has been photographed at equal time intervals. The object starts at rest and moves to the right. The dots show the location of the object each second.

0m

10m

20m

30m

40m

50m

a. Plot position vs time for the object on the graph below. Label the axes clearly!

b. Explain how you could determine the instantaneous velocity at t = 5 s.

c. Find the instantaneous velocity at t = 5 s using the procedure you described above.

d. Calculate the average acceleration from 0 to 5 seconds.

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U3 Uniform Acceleration - test v3.1

6. A Japanese bullet train slows from a speed of 50 m/sec to a speed of 40 m/sec in 500m.

What is its acceleration?

7. A rock is dropped from a bridge and hits the water 3.2 seconds later. How high is the bridge?

(Remember that you determined the acceleration due to gravity in class.)

8. A football player can accelerate at 2 m/s2. If he starts from rest, how long will it take him to travel 16 m? You may use the grid to solve the problem graphically or you may use a mathematical representation.

©Modeling Instruction 2013

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U3 Uniform Acceleration - test v3.1