Kinematics Exam Preparation

 

1.     1.   A bike first accelerates from 0.0 m/s to 5.0 m/s in 4.5 s, then continues at this constant speed      for another 4.5 s. What is the total distance traveled by the bike? 33.8 m

 

2.     A car traveling at 20 m/s when the driver sees a child standing in the road. He takes 0.80 s to react, then steps on the brakes and slows at 7.0 m/s2. How far does the car go before it stops? 44.6 m

 

3.     Answer the following questions about the car whose motion is graphed below:

 

            a.         When was the car 20 m west of the origin? Between B and C

            b.         where was the car at 50 s? 30 m east

            c.         The car suddenly reversed direction. When and where did that occur? At D

 

4.     A car starts 200 m west of the town square and moves with a constant velocity of 15 m/s toward the east. Draw a graph that represents the motion of the car sorry, no graph.

      a.         Write the equation that represents the motion of the car. d = 15 t Š 200 (if west is considered negative)

      b.         Where will the car be 10 minutes later? 8800 m

      c.         When will the car reach the town square? 13.3 s

 

5.     At the same time the car in #4 left, a truck was 400 m east of the town square moving west at a constant velocity of 12 m/s.

      a.         Add the truckÕs motion to the graph you drew for question #4. sorry, no graph.

      b.         Write the equation that represents the motion of the truck. d = -12 t + 400

      c.         Find the time and place where the car passed the truck. 22.2 s; 133 m east of town

 

6.     A car is coasting backwards downhill at a speed of 3.0 m/s when the driver gets the engine started. After 2.5 s, the car is moving uphill at 4.5 m/s. Assuming that uphill is positive direction, what is the carÕs average acceleration? 3.0 m/s2

7.     A car slows from 22 m/s to 3.0 m/s at a constant rate of 2.1 m/s2. How many seconds are required before the car is traveling 3.0 m/s? 9.04 s

 

8.         Look at the velocity-time graph given

 

            a. During which time interval or intervals is the speed constant? Between 5 to 15 s

            b. During which interval or intervals is the trainÕs acceleration positive? Between 0 to 5 s

            c. During which time interval is its acceleration most negative? Between 15 to 20 s

            d. Find the average acceleration during the following time intervals:

                        i.          0 to 5 s.   2.0 m/s2       ii.         15 to 20 s.    -1.2 m/s2 iii         0 to 40 s.  0 m/s2

 

9. An airplane starts from rest and accelerates at a constant rate of 3.00 m/s2 for 30.0 s before leaving the ground.

            a.         How far did it move? 1350 m

            b.         How fast was it going when it took off? 96 m/s

 

10. A brick is dropped from a high scaffold.

            a.         What is its velocity after 4.0 s? 39.2

            b.         How far does the brick fall during this time? 78.4 m

 

11. A tennis ball is thrown straight up with an initial speed of 22.5 m/s. It is caught at the same    distance above the ground.

            a.         How high does the ball rise? 25.8 m

            b.         How long does the ball remain in the air? 4.6 s

 

12. Consider the following velocity-time graph.

 

            Determine the displacement after t = ...

            a.         10 s.    40 m    b.         20 s.    130 m  c.         30 s.    230 m  d.         40 s.            265 m

 

13.  A bag is dropped for a hovering helicopter. When the bag has fallen for 2.0 s,

            a.         what is the bagÕs velocity? 19.6 m/s

            b.         how far has the bag fallen? 19.6 m