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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 516 (page 564)

A hiker drops a pebble from a bridge 240 feet above a canyon. The function $h (t) = - 16 t^{2} + 240$ gives the height of the pebble t seconds after it was dropped. Find the height when $t = 3$ .

Short Answer

Expert verified

The height of the pebble after 3 seconds is 96 feet above canyon.

Step by step solution

01

Step 1. Given Information

The given function of the pebble is $h (t) = - 16 t^{2} + 240$ .

02

Step 2. Evaluate the value of Function at t=3

Substitute $t = 3$ in $h (t) = - 16 t^{2} + 240$ and solve.
$\begin{array}{rcl} h (3) & = & - 16 {(3)}^{2} + 240 \\ = & - 144 + 240 \\ = & 96 \end{array}$
So, the height of the pebble after 3 seconds is 96 feet above canyon.

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