Engineering Mechanics: Dynamics
8th Edition
ISBN: 9781118885840
Author: James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher: WILEY

#### Videos

Question
Chapter 2.10, Problem 229RP
To determine

## The initial velocity which the mass center of player possess.

The initial velocity which the mass center of player possess is 13.9 ft/s.

### Explanation of Solution

Write the expression of acceleration that acts vertically downward direction opposite to the direction of motion.

a=g (I)

Here, acceleration due to gravity is g.

Conclusion:

Substitute (vdvdh) for a in Equation (I).

vdvdh=g

vdv=gdh

Integrate the equation.

v00vdv=hh+3gdh

[v22]v00=g[h]hh+3(0v022)=g[(h+3)h]v022=3g

v0=6g (II)

Substitute 32.2 ft/s2 for g in Equation (II).

v0=6×32.2 ft/s2=193.2=13.9 ft/s

Thus, the initial velocity which the mass center of player possess is 13.9 ft/s.

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