If a ball is thrown straight up into the air with an initial velocity of 85 ft/s, it height in feet after t second is given by y = 85t - 16t². Find the average velocity for the time period beginning when t = 1 and lasting (i) 0.1 seconds 51.4 ✓o (ii) 0.01 seconds 53 (iii) 0.001 seconds 21 X X Finally based on the above results, guess what the instantaneous velocity of the ball is when t = 1. Also, find the instantaneous velocity of the ball using the limit definition of derivative when t = 1. 53

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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If a ball is thrown straight up into the air with an initial velocity of 85 ft/s, it height in feet after t second
is given by y = 85t - 16t². Find the average velocity for the time period beginning when t = 1 and lasting
(i) 0.1 seconds 51.4
(ii) 0.01 seconds 53
(iii) 0.001 seconds 21
×
Finally based on the above results, guess what the instantaneous velocity of the ball is when t = 1. Also,
find the instantaneous velocity of the ball using the limit definition of derivative when t = 1.
53
Transcribed Image Text:If a ball is thrown straight up into the air with an initial velocity of 85 ft/s, it height in feet after t second is given by y = 85t - 16t². Find the average velocity for the time period beginning when t = 1 and lasting (i) 0.1 seconds 51.4 (ii) 0.01 seconds 53 (iii) 0.001 seconds 21 × Finally based on the above results, guess what the instantaneous velocity of the ball is when t = 1. Also, find the instantaneous velocity of the ball using the limit definition of derivative when t = 1. 53
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