A track meet is held on a planet in a distant solar system. A shot-putter releases a shot at a point 2.0 m above ground level. A stroboscopic plot of the position of the shot is shown in the figure, where the readings are 0.76 s apart and the shot is released at time t = 0. (a) What is the initial velocity of the shot in unit-vector notation? (b) What is the magnitude of the free-fall acceleration on the planet? (c) How long after it is released does the shot reach the ground? (d) If an identical throw of the shot is made on the surface of Earth, how long after it is released does it reach the ground? y (m) 5 10 t=0 0 5 10 15 20 25 30 x (m)

A golf ball is struck at ground level. The speed of the golf ball as a function of the time is shown in the figure, where t = 0 at the instant the ball is struck. The scaling on the vertical axis is set by va 20 m/s and v₂= 31.6 m/s. (a) How far does the golf ball travel horizontally before returning to ground level? (b) What is the maximum height above ground level attained by the ball? v (m/s) 2 3 4 5

A group of collegiate golfers invent a game where they have to hit a golf ball up to the roof of a building that is about 23.76 m tall. The hole is 3.3 m away from the edge of the roof (label this in the figure). The roof is perfectly level all the way across. a) Isabella strikes the ball causing it to launch from the ground with an initial velocity of 22.70 m/s and at an angle of θ = 72.00 . Is it possible for Isabella to make her shot to the roof? Ignore wind resistance for part (a). b) Assuming that Isabella’s shot from part (a) made it to the roof and the shot is line up to go into the hole that is 3.30 m away from the edge of the roof. The golf ball has a mass of 45.93 g, and experiences a friction force of f=0.133 N. If the ball’s speed is larger than 5.90 m/s when at the hole it will be moving too fast and not go in. Will Isabella’s shot go into the hole? Explain why she does make or does not make it in the hole.

An object has an acceleration as a function of time given by (in m/s2): A = (3t2 + 3t) i + (7t3 + 6) j Given: at t=0.0 s, the object is at the origin with a velocity of 0.0 m/s. What is the magnitude of its velocity (in m/s) when t= 4 s ?