   Chapter 2, Problem 71AP

Chapter
Section
Textbook Problem

A stuntman sitting on a tree limb wishes to drop vertically onto a horse galloping under the tree. The constant speed of the horse is 10.0 m/s, and the man is initially 3.00 m above the level of the saddle. (a) What must be the horizontal distance between the saddle and the limb when the man makes his move? (b) How long is he in the air?

(a)

To determine

The horizontal distance between the saddle and the limp.

Explanation

The acceleration of the stuntman is 9.80m/s2

The displacement of the stuntman is 3.00m

The horizontal velocity of the horse is 10.0m/s

The formula used to calculate the time taken for the stuntman is,

t=2Δya

• Δy is the displacement of the stuntman
• t is the time
• a is the acceleration of the stuntman

Substitute 9.80m/s2 for a and 3.00m for Δy to find t.

t=2(3.00m)(9.80m/s2)=0

(b)

To determine

The required time.

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