Velocity of a Motorcycle The distance s (in feet) covered by a motorcycle traveling in a straight line and starting from rest in t sec is given by the function s(t) = -0.1t³ + 3t² + 29t (0 st≤ 3) Calculate the motorcycle's average velocity (in ft/sec) over the time interval [2, 2+h] for h= 1, 0.1, 0.01, 0.001, 0.0001, and 0.00001. (Round your answers to four decimal places.) h = 1 h = 0.1 h = 0.01 h = 0.001 h = 0.0001 h = 0.00001 Use your results to guess at the motorcycle's instantaneous velocity (in ft/sec) at t = 2. (Round your answer to one decimal place.) ft/sec
Velocity of a Motorcycle The distance s (in feet) covered by a motorcycle traveling in a straight line and starting from rest in t sec is given by the function s(t) = -0.1t³ + 3t² + 29t (0 st≤ 3) Calculate the motorcycle's average velocity (in ft/sec) over the time interval [2, 2+h] for h= 1, 0.1, 0.01, 0.001, 0.0001, and 0.00001. (Round your answers to four decimal places.) h = 1 h = 0.1 h = 0.01 h = 0.001 h = 0.0001 h = 0.00001 Use your results to guess at the motorcycle's instantaneous velocity (in ft/sec) at t = 2. (Round your answer to one decimal place.) ft/sec
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.5: Properties Of Logarithms
Problem 62E
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![Velocity of a Motorcycle The distances (in feet) covered by a motorcycle traveling in a straight line and starting from rest in t sec is given by the function
s(t) = −0.1t³ + 3t² + 29t (0 ≤ t ≤ 3)
Calculate the motorcycle's average velocity (in ft/sec) over the time interval [2, 2+ h] for h = 1, 0.1, 0.01, 0.001, 0.0001, and 0.00001. (Round your answers to four decimal places.)
h = 1
h = 0.1
h = 0.01
h = 0.001
h = 0.0001
h = 0.00001
Use your results to guess at the motorcycle's instantaneous velocity (in ft/sec) at t = 2. (Round your answer to one decimal place.)
ft/sec](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8eeb6921-a110-4984-a04e-b3e01fc97c1d%2F5584e025-7cd6-4d05-ba63-dd94d3fd7a7b%2Fxh9716j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Velocity of a Motorcycle The distances (in feet) covered by a motorcycle traveling in a straight line and starting from rest in t sec is given by the function
s(t) = −0.1t³ + 3t² + 29t (0 ≤ t ≤ 3)
Calculate the motorcycle's average velocity (in ft/sec) over the time interval [2, 2+ h] for h = 1, 0.1, 0.01, 0.001, 0.0001, and 0.00001. (Round your answers to four decimal places.)
h = 1
h = 0.1
h = 0.01
h = 0.001
h = 0.0001
h = 0.00001
Use your results to guess at the motorcycle's instantaneous velocity (in ft/sec) at t = 2. (Round your answer to one decimal place.)
ft/sec
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