A ball is thrown upward from the roof of a school, 16 m high, with an initial velocity of 20 m/s. The height of the ball above the ground at time t is given by the function h(t) = -4.9t² + 20t + 16, t≥ 0 a) Find the height of the ball at t = 1 and t = 2. b) Find the rate of change of the height of the ball at 1 s and 2 s. c) What is the maximum height of the ball?
A ball is thrown upward from the roof of a school, 16 m high, with an initial velocity of 20 m/s. The height of the ball above the ground at time t is given by the function h(t) = -4.9t² + 20t + 16, t≥ 0 a) Find the height of the ball at t = 1 and t = 2. b) Find the rate of change of the height of the ball at 1 s and 2 s. c) What is the maximum height of the ball?
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Transcribed Image Text:A ball is thrown upward from the roof of a school, 16 m high, with an initial velocity of 20 m/s.
The height of the ball above the ground at time t is given by the function h(t) = −4.9t² + 20t + 16, t≥ 0.
a) Find the height of the ball at t = 1 and t = 2.
b) Find the rate of change of the height of the ball at 1 s and 2 s.
c) What is the maximum height of the ball?
d) How fast was the ball travelling when it hit the ground?
e) Determine the equation of the tangent to the curve h(t) = -4.9t² + 20t + 16 at t =5 s.
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A ball is thrown upward from the roof of a school, 16 m high, with an initial velocity of 20 m/s.
The height of the ball above the ground at time t is given by the function h(t) = -4.9t²+20t+ 16, t≥0.
a) Find the height of the ball at t = 1 and t = 2.
b) Find the rate of change of the height of the ball at 1 s and 2 s.
c) What is the maximum height of the ball?
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