A ball thrown in the air has a velocity of v(t) = 98 32t ft/sec at time t seconds. Find the total displacement of the ball between times t = 1 second and t = 8 seconds. ft Interpret your answer. The ball is feet lower after 8 seconds than it was at the end of the first second.

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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A ball thrown in the air has a velocity of \( v(t) = 98 - 32t \) ft/sec at time \( t \) seconds. Find the total displacement of the ball between times \( t = 1 \) second and \( t = 8 \) seconds.

\[ \_\_\_\_\_\_\_\_\_ \] ft

Interpret your answer.

The ball is \[ \_\_\_\_\_\_\_\_\_ \] feet lower after \[ 8 \] seconds than it was at the end of the first second.
Transcribed Image Text:A ball thrown in the air has a velocity of \( v(t) = 98 - 32t \) ft/sec at time \( t \) seconds. Find the total displacement of the ball between times \( t = 1 \) second and \( t = 8 \) seconds. \[ \_\_\_\_\_\_\_\_\_ \] ft Interpret your answer. The ball is \[ \_\_\_\_\_\_\_\_\_ \] feet lower after \[ 8 \] seconds than it was at the end of the first second.
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