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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?

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?

Calculus: Early Transcendentals
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...
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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?
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?
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