Straight Line Motion: AP Physics Test #1 ______

2 D Motion Practice Test ______, ___ Name Per

Use g = 9.8 m/s2 unless otherwise directed. Solve problems algebraically first.

1. Pipe Dream…You need to rescue some buddies who are being held captive on a heavily guarded island in a cave with a subterranean pool. The only entrance is a loose fitting, large rusty pipe. Your plan to catapult yourself from a nearby island through the pipe, carrying explosives with the hope of blasting your friends out from the inside. It could work. They don’t call you the Cannonball Commando for nothing. Your launch angle is fixed at θ. The first thing you need to do is figure out what vo you will need to get to the pipe. Start by:

C) Solve the Projectile Equation for vo.

D) You are concerned that you might hit the pipe wall on your way down through it, setting off the explosives you are carrying. At what angle  from the vertical should your buddies orient the loose fitting pipe to keep you from hitting the wall? Find  in terms of vo, θ, and x.

1 o E) Given θ = 53 , x = 150 m, y = -25 m find the numerical values for vo and .

2. A large ball rolls off the edge of a cliff with an initial speed of vo = 11.2 m/s, directed at an angle of θ = 26.6o below the horizontal. A) Carefully sketch the path of the ball for the first 3 seconds. For simplicity, assume g = 10 m/s2 for this problem, let down be the +y direction t (s) x (m) y (m) 0 1.0 2.0 3.0 B) Sketch the velocity of the ball at 1, and 2 seconds C) Find the magnitude and direction of the velocity at 2 seconds.

2 3. You decide to construct a large cylindrical space station out of transparent aluminum with a radius R of 15 m. Occupants will live on the inside surface of the rim. A) What must the period of rotation T of the spacestation be in order for the occupants to experience a centripetal acceleration of 0.25 g’s (where 1 g = 9.8 m/s2)?

B) Oops! Thrusters have malfunctioned and the period of rotation is half as long as intended in part A). What is the centripetal acceleration now?

C) If a person were to release a ball from the position shown, sketch the path of the ball as seen by an observer outside the station. Assume that the outside observer is at rest relative to the center of the space station and that the station is rotating counter-clockwise.

D) What does the person inside the space station see? Describe the path the ball takes relative to them.