1. A runner has an acceleration of -2.50 m/s' in the last 4.00 seconds of his run. If it takes him 4.00 seconds to stop, how far did he travel in those 4.00 seconds? [2 marks] 2. A cyclist accelerates constantly at 2.00 m/s' for 10.0 s. If the cyclist starts at rest, calculate [3 marks]: a. The speed at 6.00 s b. The distance travelled in the first 5.00 s C. The time to reach a speed of 7.00 m/s 3. You throw a ball straight up into the air. It takes you 0.850 s to accelerate the ball to 15.0 m/s at which point it leaves your hand. You catch it when it has a velocity of -15.64 m/s. It takes 0.450 seconds for the ball to come to a stop after it reaches your hand. [6 marks] a. What is the acceleration of the ball after it leaves your hand and before you catch it? b. Calculate the acceleration of the ball when you catch it and it comes to rest, the last 0.450 s. c. If the ball left your hand at 1.90 m above the ground, what altitude (total height above ground) did it reach? ? 1.90 m d. Sketch a velocity time graph for the entire journey of the ball4. An airliner flies at an altitude of 13,000 metres from the ground. At this altitude the wind is blowing due north (from South to North) at 35.0 m/s relative to the ground. [4 marks] READ THE QUESTIONS CAREFULLY. DRAW A LARGE SKETCH TO HELP YOU. NOTE THERE IS NO ACCELERATION IN THIS QUESTION a. If the airliner is flying at 187 m/s Northward relative to the wind, what is the airliner's velocity relative to the ground? b. James Bond is on the airliner, running to the back of the plane at 4.00 m/s relative to the plane. What is his velocity relative to the ground? c. What is James' velocity relative to the wind? d. James encounters a Ninja, who is facing him (facing North). The Ninja is stationary relative to the plane; he throws Ninja Stars at James. If the Ninja stars are moving at a velocity of 238 m/s relative to the ground, how fast are the stars moving relative to the Ninja? 5. A helicopter ascends vertically from rest at a constant rate of acceleration of 4.75 m/s'. After 12.5 seconds a bowling ball accidentally falls out of the helicopter. [4 marks] a. At the instant the ball begins to fall, what is its velocity relative to the helicopter? b. 3.00 seconds after falling from the helicopter, what is the ball's velocity relative to the helicopter? BONUS QUESTION (if you want to challenge yourself, not for marks) C. When the bowling ball hits the ground, what is its displacement from the helicopter