PHYS 1007 2022]? Tutorial #1 All sections 1. A ball accelerates constantly from a Speed of 23.; : 21.6 km/h in the positive :3 direction to a speed of U} = 64.8 kin/h in the negative f: direction. (a) Express '17.- and if} in In/s. (b) What is the acceleration of the ball if it requires At : 9.00 s for its speed to change? (c) What is the displacement, Ar, of the ball? Solve for the displacement twice by using two different equations, one with the acceleration found in part (a) and one Without the acceleration. Show all your work. 2. An unmarked police car starts from rest just as a speeding car passes at a constant speed of v: = 144 km/h E. With constant acceleration, it takes At = 22.0 s for the police car the catch the speeding car. (a) Express 735 in m/s. (b) What distance did the police car travel to catch the speeding car? (c) What was the police car's acceleration? ) (d What was the police car's speed when it caught up to the speeding car? Give your answer in both m/s and kin/h. Show all your work. 3. A ball is thrown downwards from the roof of a building and reaches the ground in 5.0 seconds. (a) If the initial velocity of the ball is F; = 14.0 m/s down, what is its nal velocity when it reaches the ground? (b) How tall is the building? Take g = 9.81 m/s2 and Show all your work. 4. A rocket engine can accelerate a rocket launched from rest vertically up with a constant acceleration of 20.00 Iii/52. However, at an altitude of 12250 In the engine fails. (a) How much time did the rocket engine work? (b) What is the velocity of the rocket at the moment the engine failed? (c) What maximum height above the Earth does the rocket reach? Take g = 981 m/s2 and show all your work. 5. An airplane lands on the ground and begins to decelerate uniformly. The airplane's initial velocity was 222 = 145 m/s .2\": and the magnitude of its acceleration was 12.0 m/s2 .2\": (a) How much time does it take the airplane to travel 105 m forwards? (b) How far does the airplane travel on the ground before it comes to a stop? aeEEpw. Show all your work. 6. A ball is thrown off an 11.0 m tall building with an initial velocity of vi = 5.40 m/s at an angle of 0 = 15.0 above the horizontal. (a) How much time does it take the ball to land? (b) Determine the x component of the ball's final speed. (c) Determine the y component of the ball's final speed. (d) What is the ball's final speed? Take g = 9.81 m/s and show all your work. Vi