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...
icon
Related questions
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?
Transcribed Image Text: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

ht = -16t2+64t+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.

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning