Exam1F06a

Exam1F06a - 1. A rubber dart is fired from the ground...

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1. A rubber dart is fired from the ground towards a monkey that is initially hanging from a branch of a tree. The monkey lets go of the branch at the instant that the dart is fired (t=0), and then he falls directly downwards. The initial position of the monkey is a horizontal distance D=4.00 m, and a 0 vertical height h=3.00 m, from the dart gun. The dart has an initial speed v = 20.0 m/s at an angle è above horizontal. The ground is level from the dart gun to the base of the tree where the monkey lands. a) Determine the angle, è , that the dart should be fired in order to hit the falling monkey. 36.9 degrees b) Find the height of the dart above the ground when it hits the monkey. 2.69 m c) What is the velocity (magnitude and direction) of the dart when it hits the monkey? 30.9 degrees 0 d) Now assume that the dart is fired with the same initial speed v = 20.0 m/s, but at a different angle 1 1max ö and at a different time, t >0. What is the maximum delay time (t ) after the monkey begins to fall that the dart can be fired, and still hit the monkey directly (without hitting the ground first).
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Exam1F06a - 1. A rubber dart is fired from the ground...

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