(a) Explanation Given Information: The height attained by the tennis ball, h ( t ) in time, t seconds is given by the function h ( t ) = − 16 t 2 + 32 t + 1 . Formula used: The maximum value of a quadratic equation f ( x ) = a x 2 + b x + c where a < 0 occurs at the vertex. The coordinates of the vertex are ( − b 2 a , 4 a c − b 2 4 a ) . Calculation: Consider, the function h ( t ) = − 16 t 2 + 32 t + 1 that is the function to compute the height attained by the tennis ball in t seconds (b) To determine To calculate: The time taken by the tennis ball to attain its maximum height if it is lobbed from a height of 1 foot when the height of the tennis ball, h ( t ) , in feet, at time t , in seconds is given by the function, h ( t ) = − 16 t 2 + 32 t + 1 . (c) To determine The time taken by the tennis ball to strike the ground if it is lobbed from a height of 1 foot when the height of the tennis ball, h ( t ) , in feet, at time t , in seconds is given by the function, h ( t ) = − 16 t 2 + 32 t + 1 .

Intermediate Algebra For College Students (10th Edition)

10th Edition

ISBN: 9780134758992

Author: Allen R. Angel, Dennis Runde

Publisher: PEARSON

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Question

Chapter 8.5, Problem 86ES

(a)

To determine

To calculate: The maximum height attained by the tennis ball if it is lobbed from a height of 1 foot when the height of the tennis ball, h(t), in feet, at time t, in seconds is given by the function, h(t)=−16t2+32t+1.

(b)

To determine

To calculate: The time taken by the tennis ball to attain its maximum height if it is lobbed from a height of 1 foot when the height of the tennis ball, h(t), in feet, at time t, in seconds is given by the function, h(t)=−16t2+32t+1.

(c)

To determine

The time taken by the tennis ball to strike the ground if it is lobbed from a height of 1 foot when the height of the tennis ball, h(t), in feet, at time t, in seconds is given by the function, h(t)=−16t2+32t+1.

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Chapter 8.5, Problem 85ES

Chapter 8.5, Problem 87ES

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Chapter 8 Solutions

Intermediate Algebra For College Students (10th Edition)

Ch. 8.1 - Fill in the blanks with the appropriate word,...Ch. 8.1 - Fill in the blanks with the appropriate word,...Ch. 8.1 - Prob. 3ES Ch. 8.1 - Prob. 4ES Ch. 8.1 - Fill in the blanks with the appropriate word,...Ch. 8.1 - Prob. 6ES Ch. 8.1 - Prob. 7ES Ch. 8.1 - Prob. 8ES Ch. 8.1 - Prob. 9ES Ch. 8.1 - Prob. 10ES

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The maximum height attained by the tennis ball if it is lobbed from a height of 1 foot when the height of the tennis ball, h ( t ) , in feet, at time t , in seconds is given by the function, h ( t ) = − 16 t 2 + 32 t + 1 .

To calculate: The maximum height attained by the tennis ball if it is lobbed from a height of 1 foot when the height of the tennis ball, h(t), in feet, at time t, in seconds is given by the function, h(t)=−16t2+32t+1.

To calculate: The time taken by the tennis ball to attain its maximum height if it is lobbed from a height of 1 foot when the height of the tennis ball, h(t), in feet, at time t, in seconds is given by the function, h(t)=−16t2+32t+1.

The time taken by the tennis ball to strike the ground if it is lobbed from a height of 1 foot when the height of the tennis ball, h(t), in feet, at time t, in seconds is given by the function, h(t)=−16t2+32t+1.

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Chapter 8 Solutions