A stunt performer running on level ground launches a small projectile from a…

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A stunt performer running on level ground launches a small projectile from a spring-powered device so that it lands back on level ground at the same height from which it was launched. The launch angle is 40∘40^{\circ} above the horizontal, and the horizontal range of the projectile is measured to be 85 m85\,\text{m}. Neglect air resistance. (a) Calculate the initial speed of the projectile. (b) Determine the total time the projectile is in the air. (c) Compute the maximum height the projectile reaches above the launch level. (d) If the initial speed were increased by 20%20\% while the launch angle remained 40∘40^{\circ}, calculate the new horizontal range.

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