If you toss an object upward from the ground, its height at time t (in feet) is given by h(t) = -16t2 + v0t where v0 is the velocity of the toss in ft/s. Please help with questions 5, 6, and 7

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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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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If you toss an object upward from the ground, its height at time t (in feet) is given by h(t) = -16t2 + v0t

where v0 is the velocity of the toss in ft/s.

Please help with questions 5, 6, and 7

If you toss an object upward from the ground, its height at time t (in feet) is given by
h (t) = -16t? + vot
where vo (pronounced "vee-naught") is the velocity of the toss in ft/s.
Transcribed Image Text:If you toss an object upward from the ground, its height at time t (in feet) is given by h (t) = -16t? + vot where vo (pronounced "vee-naught") is the velocity of the toss in ft/s.
5. Now assume you are not starting at the ground, but at a height of 100 feet. Find a formula for the height
of the object as a function of time.
6. Find a formula for the height of the object if you are starting so feet above the ground.
7. (a) Assume now that you take a ball to the top of a 216 foot tall building and let it drop. When does it
reach the ground?
(b) When would it reach the ground if you tossed it upwards with an initial velocity of 10 ft/s?
(c) In that case, when would it reach its maximum height?
(d) What would that maximum height be?
Transcribed Image Text:5. Now assume you are not starting at the ground, but at a height of 100 feet. Find a formula for the height of the object as a function of time. 6. Find a formula for the height of the object if you are starting so feet above the ground. 7. (a) Assume now that you take a ball to the top of a 216 foot tall building and let it drop. When does it reach the ground? (b) When would it reach the ground if you tossed it upwards with an initial velocity of 10 ft/s? (c) In that case, when would it reach its maximum height? (d) What would that maximum height be?
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