1. An arrow is shot into the air and its height in feet after t seconds is given by the function f(t) = -16t² + 80t. a. Find the height of the arrow when t = 3. b. Find the instantaneous velocity of the arrow. c. Find the slope of the tangent line to the curve at t = 3. d. Find the time it takes the arrow to reach its peak.
1. An arrow is shot into the air and its height in feet after t seconds is given by the function f(t) = -16t² + 80t. a. Find the height of the arrow when t = 3. b. Find the instantaneous velocity of the arrow. c. Find the slope of the tangent line to the curve at t = 3. d. Find the time it takes the arrow to reach its peak.
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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Transcribed Image Text:1. An arrow is shot into the air and its height in feet after t seconds is given by the
function f(t) = -16t² + 80t.
a. Find the height of the arrow when t = 3.
b. Find the instantaneous velocity of the arrow.
c. Find the slope of the tangent line to the curve at t = 3.
d. Find the time it takes the arrow to reach its peak.
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