Chapter 13.4, Problem 30E

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8th Edition

James Stewart

ISBN: 9781305266643

Textbook Problem

Show that a projectile reaches three-quarters of its maximum height in half the time needed to reach its maximum height.

To determine

**To show:** A projectile reaches three-quarters of its maximum height in half the time needed to reach its maximum height.

Explanation

**Formula used:**

The expression for position vector of the projectile is.

Here,

The parametric equations of the trajectory are,

Write the expression for velocity.

Take differentiation with respect to

Substitute

The shell reaches the maximum height when the vertical component of velocity is zero

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