Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.3 - Polynomials and Polynomial Functions - Exercise Set: 83f


19 seconds

Work Step by Step

We are given that the height of a projectile at any time t can be described by the polynomial function $P(t)=-16t^{2}+300t$. In order to find how long before an object will hit the ground, we must find the value of t such that $P(t)=0$. $0=-16t^{2}+300t$ Add $16t^{2}$ to both sides. $16t^{2}=300t$ Divide both sides by t. $16t=300$ Divide both sides by 16. $t=18.75\approx19$ seconds
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