Kinematics – Test Review Questions Practice Problems: 1. Ryan walks 750m the bus stop in 8.30 min. Calculate his average speed in: a) m/s b) km/h. 2. How long does it take K-Swizzle to ride his bicycle 5.86 km to his friend’s house if he is travelling at an average speed of 16.5 km/h? 3. Alex kayaks 13.2 km [E] from his camping site, stops for lunch, then paddles 20.0 km [E24.0oS] back to the beach where his car is parked. The trip took a total of 6.35 hours. a) What was the total distance of Alex’s trip? b) What was the total displacement his trip? c) What was his average speed? d) What was his average velocity? 4. Complete the following questions according to the graph of “A Snowboarder’s Journey”. a) How far did the snowboarder travel over 8.0 seconds? b) What was the snowboarder’s average speed? c) What was the snowboarder’s average acceleration? d) Sketch two different position-time graphs that could both represent the same motion as this distancetime graph. 5. Complete the following questions using the velocity-time graph for an ant. a) For how much time did the ant travel in the east direction? b) What was the ant’s only constant velocity? c) Determine 2 times when the ant stopped moving. d) Between 30-40 minutes, did the ant speed up or slow down? 6. Becky visits Vietnam and rents a scooter (like every other tourist!). When she accidentally gets onto the highway, she accelerates at a rate of 5.00 m/s2 [E] and reaches a velocity of 35.0 m/s [E] in exactly 2.50 s. What was her initial velocity? 7. During a soccer game, Pavle headed the ball. The ball went straight upwards, so he was able to head it again from the same height (exactly 6.0 feet) 0.75 seconds later. a) What maximum height did the ball reach? (hint: 1.00 foot = 0.3048m) b) With what velocity did Pavle head the ball? 8. While on vacation, Oishee decides to go scuba diving. Listening to her dive master very carefully, she begins from rest and speeds up as she gets deeper, all with uniform acceleration of course (she may be a bit of a perfectionist). If she descends to 14.75m underwater in 4.24 minutes, what is her average acceleration in m/s2 ? 9. The angry physics class dropped Mrs. McColeman out the window at 8.35m above the ground. a) How long would it take Mrs. McColeman to reach the ground below? b) With what speed would she hit the ground? 10. Mrs. McColeman survived her fall only a scratch, so the next time, the students push her out the window (still 8.35 m tall) towards the pool with a horizontal velocity of 2.24 m/s [forward]. If the pool is a horizontal distance of 9.6 m from the school wall (and window), and is 8.0 m wide, will Mrs. McColeman land in the pool? 11. Oren spits his gum out a window with an initial velocity of 2.15 m/s at an angle of 24o above the horizontal. a) How long would it take the gum to hit the ground 8.25 m below? b) What would the gum’s horizontal and vertical velocities be just before landing? 12. During an intense lunchtime soccer game, Mohammed is trying to score a goal to impress the girls. He kicks the ball from the ground from 8.36 m directly in front of the net. He kicks it with an initial velocity of 12.4 m/s at an angle of 22o above the horizontal. If the net is 2.80 m tall, will the ball go into the net or over it? 13. A military officer fires a warning shot into the air with an initial velocity of 160 m/s at an angle of 80.0o above the horizontal. a) How long would it take the bullet to reach the ground? b) With what velocity would it reach the ground? c) How far in front of the military officer would it hit the ground? ANSWERS: 1a) 1.5 m/s b) 5.4 km/h 2. 0.355 h (or 21.3 min) 3. a) 33.2 km b) 32.5 km [E14.5oS] c) 5.23 km/h d) 5.12 km/h [E14.5oS] 4. a) 8m b) 1 m/s c) 0 5. a) 30 min b) 60 m/min c) 30 & 55 min. d) speed up 6. 22.5 m/s [E] 7. a) 2.5 m b) 3.7 m/s [up] 8. 0.00046 m/s2 [down] 9. a) 1.3 s b) 13 m/s [down] 11. a) 1.4 s b) vx = 2.0 m/s [forward] and vy = 13 m/s [down] 13. a) 32 s b) 160 m/s2 [80o below the horizontal] 10. No dx = 2.9 m 12. Into net, dy = 0.79 m [up] c) 890 m