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a) An archer aims at a rabbit on a hillside. The horizontal distance of the archer...

a) An archer aims at a rabbit on a hillside. The horizontal distance of the archer from the rabbit is 45m; the rabbit is 12 m higher than the release point of the arrow. If the archer shoots at an angle of 50° above the horizontal, what is the speed of the arrow upon release?

b) A pig enjoys sliding down a ramp. The farmer who owns the pig discovers that if he greases the pig, there is no fiction and the pig enjoys the slide more. The required for the pig to reach the bottom of the slide with friction is twice the time without friction. Assumed the pig starts from rest. Derive an expression for the coefficient of friction.

c) In the previous problem, if the slide is inclined at an angle of 40°, what is the numerical value for the coefficient of friction?

d) A projectile’s speed at launch is four times its speed at the top of the trajectory. What is the launch angle?

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