Hi. The subject is precalculus. I'm stuck on this question. I need help with this. 9.If a ball is launched upward with an initial velocity of 96 feet per second, itsheight h after t seconds given by the function h(t) = -16f² +64t +25, in feet.a)Determine at what time t the ball will be at its maximum height.b)What is the maximum height of the ball?

9. If a ball is launched upward with an initial velocity of 96 feet per second, its height h after t seconds is given by the function h(t) = -16f² +64t+25, in feet. Determine at what time t the ball will be at its maximum height. a) b) What is the maximum height of the ball?

9. If a ball is launched upward with an initial velocity of 96 feet per second, its height h after t seconds is given by the function h(t) = -16f² +64t+25, in feet. Determine at what time t the ball will be at its maximum height. a) b) What is the maximum height of the ball?

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

Hi. The subject is precalculus. I'm stuck on this question. I need help with this.

9.
If a ball is launched upward with an initial velocity of 96 feet per second, its
height h after t seconds given by the function h(t) = -16f² +64t +25, in feet.
a)
Determine at what time t the ball will be at its maximum height.
b)
What is the maximum height of the ball?

Expert Solution

Step 1

The height function of the ball is given by

$h (t) = - 16 t^{2} + 64 t + 25 . . . . . . . . . . . . . (1)$

To evaluate:

$a) The time at which t the ball will be at its maximum height. b) The maximum height of the ball.$

Step by step

Solved in 3 steps

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