   Chapter 9, Problem 31RE Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584

Solutions

Chapter
Section Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584
Textbook Problem

Model Rockets A small rocket is shot from the edge of a cliff. The height h , in meters, of the rocket above the cliff is given by h = 30 t − 5 t 2 , where t is the time in seconds after the rocket is shot. Find the times at which the rocket is 25 m above the cliff.

To determine

The times at which the rocket is 25 m above the cliff.

Explanation

Given information:

The height of the rocket above the cliff is given by h=30t5t2 , t is time in seconds after the rocket is shot.

Calculation:

h=30t5t2    (Given)

By given data, h = 25

25=30t5t2

Simplifying the equation we get

t230t+25=0

The solutions of the equation ax2+bx+c=0,a0 are

x=b±b24ac2a

Here the values are a=1,b=30,c=25

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