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Calculating acceleration and velocity

4. A bowling ball of mass 4.0kg strikes a 10-pin of mass 0.80kg. The ball's velocity was 1.5m/s before the collision, but after the collision it is 1.2m/s. What is the velocity of the pin just after the collision? Treat this as a one-dimensional situation: we assume that the ball hits the pin "square".

5. A 60kg bicyclist is pedalling up a hill at a speed of 4.0m/s. He decides to rest, so he quits pedalling and coasts to a stop. The distance he travels after stopping pedalling is 5.0 meters.

(a) Find the acceleration of the bicyclist while he was coasting to a stop.
(b) How much time elapsed from when he stopped pedalling until he stopped?
(c) If there were no friction, what would the rise in "altitude" be during this trip? (This is the vertical component of the rise - no information is given about the slope of the hill).
(d) Find the angle the hill makes with the horizontal. (Again, we ignore friction, so we can se the information you found above.)

Solution Summary

Solution considers the mass of a bowling bowl, it's velocity pre- and post-collision with a pin. It also considers a bicyclist's pedalling speed before and after coasting. Acceleration is the foci of these questions.