Given s(t) = -2.6712 + 10t is the position of a ball (in ft.) above the ground that was thrown on the moon, find the following: a. Instantaneous velocity at 2 seconds

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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Given s(t) = -2.6712 + 10t is the position of a ball (in ft.) above the ground that was thrown on the
moon, find the following:
a. Instantaneous velocity at 2 seconds
b. When will the instantaneous velocity be 7 ft/s
c. With what speed does it hit the ground
Transcribed Image Text:Given s(t) = -2.6712 + 10t is the position of a ball (in ft.) above the ground that was thrown on the moon, find the following: a. Instantaneous velocity at 2 seconds b. When will the instantaneous velocity be 7 ft/s c. With what speed does it hit the ground
Expert Solution
Step 1

Calculus homework question answer, step 1, image 1

For (a),

The instantaneous velocity is s'(t)=-2.67t2+10t'=-5.34t+10.

At t=2,

s'(2) = -5.34(2)+10 = -

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