If a ball is thrown into the air with an initial velocity of 44 ft/s, its height in feet after t seconds is given by y = 44t - 16t². Find the average velocity of the ball (in ft/s) for the time interval beginning at t = 2 and lasting for each of the following. 0.5 seconds 0.1 seconds ft/s 0.05 seconds ft/s 0.01 seconds ft/s Use your answers from part (a) to estimate the instantaneous velocity (in ft/s) when t = 2. ft/s

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If a ball is thrown into the air with an initial velocity of 44 ft/s, its height in feet after t seconds is given by y = 44t - 16t².
Find the average velocity of the ball (in ft/s) for the time interval beginning at t = 2 and lasting for each of the following.
0.5 seconds
0.1 seconds
ft/s
ft/s
0.05 seconds
ft/s
0.01 seconds
ft/s
Use your answers from part (a) to estimate the instantaneous velocity (in ft/s) when t = 2.
ft/s
Transcribed Image Text:If a ball is thrown into the air with an initial velocity of 44 ft/s, its height in feet after t seconds is given by y = 44t - 16t². Find the average velocity of the ball (in ft/s) for the time interval beginning at t = 2 and lasting for each of the following. 0.5 seconds 0.1 seconds ft/s ft/s 0.05 seconds ft/s 0.01 seconds ft/s Use your answers from part (a) to estimate the instantaneous velocity (in ft/s) when t = 2. ft/s
Expert Solution
Introduction:

We are given various time intervals. We first find position at beginning and end of these time intervals. We then find displacements for these time intervals. We then find average velocity which is displacement per unit time.

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