SPH Date: 3U Kinematic Equations Worksheet 1. A car accelerates at 2.0 m/s'[W]. If the car's initial velocity is 31 m/s [E], what is its final velocity 3.5 s later? (24 m/s [E]) 2. A ball is rolled up a slope with an initial velocity of 6.0 m/s. The ball experiences an acceleration of -2.0 m/s'. What is its velocity after the following? a. 2.05 (2.0 m/s) b. 3.0s (0 m/s) c. 4.05 (-2.0 m/s) 3. A car is travelling at a speed of 30 m/s on wet pavement. The driver sees an obstacle ahead and decides to stop. From this instant, it takes him 0.75 s to begin applying the brakes. Once the breaks are applied, the car experiences an acceleration of -6.0 m/s'. How far does the car travel from the instant the driver notice the obstacle until it stops? (98 m) 4. A steel ball, starting from rest, rolls down one slope and up another. It takes 2.5 s to reach the bottom of the first slope, at which point its speed is 5.0 m/s. If the magnitude of the acceleration on the second slope is exactly one-half that on the first slope, how long will it take for the ball to come to a stop on the second slope? (5.0 s) 5. A ball rolls down a hill with a constant acceleration of 2.0 m/s'. If the ball starts from rest how far does it travel in 4.0 s? (16 m) 6. An electron is accelerated uniformly from rest to a velocity of 2.0 x 10' m/s. a. If the electron travelled 0.10 m while it was being accelerated, what was its acceleration? (2.0 x 10"5 m/s') b. How long did the electron take to attain its final velocity? (1.0 x 10# 5) 7. A skier starts down a slope 0.250 km long at a velocity of 4.0 m/s [downhill]. If she accelerates at a constant rate of 2.0 m/s" [downhill], find her velocity at the bottom of the slope. (31 m/s [downhill]) 8. Pressing on the brake pedal slows a car down from a velocity of 35.0 m/s [E] to 20.0 m/s[E] in 8.0 s. If the acceleration is uniform, what is the displacement of the car? (2.2 x 103 m [E]) 9. A plane travelling at 2.00 x 10' km/h [N] accelerates at the rate of 5.0 km/h/s [N] for 1.0 min. What is its final velocity? (5.0 x 103 km/h [N]) 10. A ball is dropped from a tall cliff. Ignoring air resistance, what distance has it fallen after 3.0s? (44 m) 11. A toy car accelerates at a constant rate from 20.0 cm/s[E] to 120.0 cm/s[E] in 2.0s. What is the car's dis- placement during this time? (1.4 x10' m) 12. A ball is thrown straight up in the air at 19.6 m/s. When will it return to its original height? (4.00s) 13. A car is travelling along the highway at 72 km/h[N] when the driver sees an obstacle and begins to brake. If the car accelerates uniformly to rest while covering a distance of 25 m, what is the car's rate of acceleration? (8.0 m/s' [W]) 14. From the v-t graph, find the total displacement, using graphing Velocity vs time for a toy car techniques. (-3.0 m [fwd] 30 20 velocity 10 (cm/s) forward -10 0 10 20 30 40 50 60 -20 -30 time(s) SPH3U: Unit 1- Kinematics