2- A hot-air balloon is moving vertically up and down so that its height relative to the ground is given by h(t)=t -t-t +1, where "h" is measured in kilometers and t In hours. If the height h was recorded between the first and the second hour of motion 0s ts2 find. a- The velocity of the hot-air balloon at t=1h. b- The acceleration of the balloon when the velocity is zero.

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...
Question
2- A hot-air balloon is moving vertically up and down so that its
height relative to the ground is given by h(t)=t³ – t? -t +1, where
"h" is measured in kilometers and t In hours. If the height h was
recorded between the first and the second hour of motion 0s ts2
find.
a- The velocity of the hot-air balloon at t=1h.
b- The acceleration of the balloon when the velocity is zero.
Transcribed Image Text:2- A hot-air balloon is moving vertically up and down so that its height relative to the ground is given by h(t)=t³ – t? -t +1, where "h" is measured in kilometers and t In hours. If the height h was recorded between the first and the second hour of motion 0s ts2 find. a- The velocity of the hot-air balloon at t=1h. b- The acceleration of the balloon when the velocity is zero.
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