Name_____________________

Science 10 – Velocity and Acceleration Total _________/40

1. A ball is rolling at a velocity of 3.0 m/s [245o]. Use the x-axis method to sketch this vector on a grid. (1 mark)

2. A ball is rolling at a velocity of 3.0 m/s [245o]. Use the navigator method to sketch this vector on a grid. (1 mark)

3. A student walks 10.0m[E] in 7.00s. Then he walks another 12.0m[E] in 8.00s. Determine:a. the displacement of the student in 15.00s (1 mark)

b. the average velocity of the student (2 marks)

4. An airplane flying at a velocity of 900km/h [W] travels 400km west. How long will the plane be in flight? (2 marks)

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5. A ball rolls 10.0m[S] in a time of 6.00s, hits a wall and rolls back a distance of 15.0m[N] in a time of 10.0s. Determine (4 marks)

a. the distance travelled by the ball

b. the displacement of the ball

c. the average speed of the ball

d. the average velocity of the ball

6. An air puck is propelled from one side of an air hockey table. It hits an elastic on the other side, and the elastic propels it back to the side where it started. Students recorded the motion of the air puck and analyzed the data. (4 marks for a. and 3 marks for b.)

a. Draw a position-time graph of the data in the table. b. Calculate the slope of the graph. What can you determine about the value of the slope?

Time t (s) Position of the Air Puck d (cm)

0.00 0.00

0.10 5.25 [E]0.20 10.51 [E]0.30 15.74 [E]040 10.52[E]0.50 5.26[E]0.60 0.00

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7. Rearrange the acceleration equation a⃑= v⃑f−v⃑i∆ t

, to solve for (2 marks)

a. ∆t b. vf

8. A shuttle craft accelerates from rest to a velocity of 50 m/s [upward] in 4.00s. What is its acceleration? (2 marks)

9. A hockey puck travelling at 10.0 m/s strikes the boards, coming to rest in 0.0300s. What is the magnitude of the puck’s acceleration? (2 marks)

10. A car driver applies the brakes and slows down from 15.0m/s [E] to 5.000 m/s [E] in 4.00s. Determine the car’s acceleration. (2 marks)

11. Identify the motions as positive or negative accelerations: (4 marks)a. An object changes its velocity from 10 m/s [E] to 20 m/s [E] in 4.0s._________________b. An object changes its velocity from 20 m/s[E] to 10 m/s[E] in 4.0s.__________________

c. An object changes its velocity from 10 m/s[W] to 20 m/s[W] in 4.0s._________________d. An object changes its velocity from 20 m/s[W] to 10 m/s[W] in 4.0s._________________

12. An object starts from rest and accelerates at 1.30 m/s2 [N] for 6.00s. What is the final velocity of the object? (2 marks)

13. An object, initially at rest, is dropped off a building and accelerates to Earth at -9.81 m/s2 [downward]. How long will it take for the object to reach a final velocity of -49.1m/s [downward]? (2 marks)

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14. The table below shows data for an object travelling with accelerated motion.

a. Draw a velocity-time graph for the data shown in the table. (3 marks)b. Using the graph, identify the motion occurring in the time intervals given below. Justify

your answer for each one. (3 marks)i. between t = 0.0s and t = 3.0s

ii. between t = 3.0s and t = 5.0siii. between t=5.0s and t = 8.0s

Time t (s) Velocity v (m/s) [E]

0.0 0.01.0 5.02.0 10.03.0 15.04.0 15.05.0 15.06.0 10.07.0 5.08.0 0.0

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