   Chapter 3, Problem 53AP

Chapter
Section
Textbook Problem

A celebrated Mark Twain story has motivated contestants in the Calaveras County Jumping Frog Jubilee, where frog jumps as long as 2.2 m have been recorded. If a frog jumps 2.2 m and the launch angle is 45°, find (a) the frog’s launch speed and (b) the time the frog spends in the air. Ignore air resistance.

(a)

To determine
The launching speed of the frog.

Explanation

The horizontal range of a projectile launched from the same height at which it lands is,

Δx=v02sin2θg

Here,

v0 is the initial velocity

θ is the angle of projection

g is the acceleration due to gravity

The initial velocity is,

v0=gΔxsin2θ

Substitute 2.2m for Δx , 45

(b)

To determine
The time spend by the frog in air.

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