If a ball is thrown straight up into the air with an initial velocity of 55 ft/s, it's height in feet after t second is given by y=55t-16t^2. Find the average velocity for the time period beginning when t=1 and lasting i) 0.5 seconds   ii) 0.1 seconds   iii) 0.01 seconds  iv) Finally, based on the above results, guess what the instantaneous velocity of the ball is when t=1

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
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If a ball is thrown straight up into the air with an initial velocity of 55 ft/s, it's height in feet after t second is given by y=55t-16t^2. Find the average velocity for the time period beginning when t=1 and lasting

i) 0.5 seconds

 

ii) 0.1 seconds

 

iii) 0.01 seconds 


iv) Finally, based on the above results, guess what the instantaneous velocity of the ball is when t=1. 

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