Upload your work and answer to the following question: A ball is thrown into the air with an initial upward velocity of 48 ft/s. It's height h(t) in feet after t seconds is given by the function h (t) = -16t + 48t + 4 i.) What height will the ball be when 2 seconds has passed? ii.) In how many seconds will the ball reach its maximum height? ii.) What is the ball's maximum height?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.6: Graph Quadratic Functions Using Properties
Problem 9.104TI: A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the...
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Upload your work and answer to the following question:
A ball is thrown into the air with an initial upward velocity of 48 ft/s. It's
height h(t) in feet after t seconds is given by the function
h (t) = -16t + 48t + 4
i.) What height will the ball be when 2 seconds has passed?
ii.) In how many seconds will the ball reach its maximum height?
ii.) What is the ball's maximum height?
Transcribed Image Text:Upload your work and answer to the following question: A ball is thrown into the air with an initial upward velocity of 48 ft/s. It's height h(t) in feet after t seconds is given by the function h (t) = -16t + 48t + 4 i.) What height will the ball be when 2 seconds has passed? ii.) In how many seconds will the ball reach its maximum height? ii.) What is the ball's maximum height?
Expert Solution
Step 1

Velocity:

h(t)=-16t2+48t+4h'(t)=v(t)=-32t+48v(t)=0(i)When 2 seconds has passed the height will beh(2)=-16*4+48*2+4h(2)=36So the height will be 36 ft.

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