If a ball is thrown into the air with an initial velocity of 52 ft/s, its height in feet after t seconds is given by y = 52t – 16t2. (a) 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. (i) 0.5 seconds ft/s (ii) 0.1 seconds ft/s (iii) 0.05 seconds ft/s (iv) 0.01 seconds ft/s (b) Use your answers from part (a) to estimate the instantaneous velocity (in ft/s) when t = 2. ft/s
If a ball is thrown into the air with an initial velocity of 52 ft/s, its height in feet after t seconds is given by y = 52t – 16t2. (a) 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. (i) 0.5 seconds ft/s (ii) 0.1 seconds ft/s (iii) 0.05 seconds ft/s (iv) 0.01 seconds ft/s (b) Use your answers from part (a) to estimate the instantaneous velocity (in ft/s) when t = 2. ft/s
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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![If a ball is thrown into the air with an initial velocity of 52 ft/s, its height in feet after t seconds is given by y
52t – 16t2.
-
(a) 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.
(i)
0.5 seconds
ft/s
(ii) 0.1 seconds
ft/s
(iii) 0.05 seconds
ft/s
(iv) 0.01 seconds
ft/s
(b) Use your answers from part (a) to estimate the instantaneous velocity (in ft/s) when t = 2.
ft/s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdaf30f56-016e-4284-9e0e-308d7a6d7bdd%2F75c1e21d-821f-405d-b4b8-2393968eeeb3%2F6e933q0p_processed.png&w=3840&q=75)
Transcribed Image Text:If a ball is thrown into the air with an initial velocity of 52 ft/s, its height in feet after t seconds is given by y
52t – 16t2.
-
(a) 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.
(i)
0.5 seconds
ft/s
(ii) 0.1 seconds
ft/s
(iii) 0.05 seconds
ft/s
(iv) 0.01 seconds
ft/s
(b) Use your answers from part (a) to estimate the instantaneous velocity (in ft/s) when t = 2.
ft/s
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