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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter9: Quadratic Functions And Equations
Section9.4: Solving Quadratic Equations By Factoring
Problem 59HP
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Question

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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