Mr. Smith owns a small two-story brick house on the outskirts of town. In his ba

Question

Mr. Smith owns a small two-story brick house on the outskirts of town. In his back yard are several huge oak trees. One of these trees has a 4-m rope hanging from a high, sturdy branch. (As a matter of fact, the branch is about 4 m from the ground!) On the weekends at around dusk. His favorite things to do is to run as fast as he can, leap onto the rope, and then see how high he can swing before dropping off the rope and onto the back of an unsuspecting enemy soldier. On one particularly eventful evening, the rope is found to make an angle of about 42 (as measured from the vertically downward direction) when he is at his highest point of the swing. How fast was he running when he leapt onto the rope?

Explanation / Answer

here Hmax = L*(1- cos theta )

H = 4* (1- cos42)

H = 1.027 m

so use the Kinematic eqn H = V^2/2g

so

veocity V^2 = 2* 9.8 * 1.027

V = 4.48 m/s

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