Intermediate Algebra (6th Edition)

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

Chapter 5 - Section 5.6 - Factoring Trinomials - Exercise Set - Page 304: 100a

Answer

The height of the object at $t=0$ seconds is $960$ ft. The height of the object at $t=3$ seconds is $1008$ ft. The height of the object at $t=6$ seconds is $768$ ft. The height of the object at $t=9$ seconds is $240$ ft.

Work Step by Step

The given equation is $h(t)=-16t^{2}+64t+960$. To find the height of the object when $t=0$, substitute $0$ in for t. $h(0)=-16(0)^{2}+64(0)+960$ Evaluate: $h(0)=-16(0)^{2}+64(0)+960=960$. Therefore, the height of the object when $t=0$ is $960$ ft. To find the height of the object when $t=3$, substitute $3$ in for t. $h(3)=-16(3)^{2}+64(3)+960$ Evaluate: $h(3)=-16(3)^{2}+64(3)+960=1008$. Therefore, the height of the object when $t=3$ is $1008$ ft. To find the height of the object when $t=6$, substitute $6$ in for t. $h(6)=-16(6)^{2}+64(6)+960$ Evaluate: $h(6)=-16(6)^{2}+64(6)+960=768$. Therefore, the height of the object when $t=6$ is $768$ ft. To find the height of the object when $t=9$, substitute $9$ in for t. $h(9)=-16(9)^{2}+64(9)+960$ Evaluate: $h(9)=-16(9)^{2}+64(9)+960=240$. Therefore, the height of the object when $t=9$ is $240$ ft.
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