If a ball is thrown in the air with a velocity 42 ft/s, its height in feet t seconds later is given by y = 42t – 16t2. (a) Find the average velocity for the time period beginning when t = 2 and lasting (i) 0.5 second. ft/s (ii) 0.1 second. ft/s (ii) 0.05 second. ft/s (iv) 0.01 second. ft/s (b) Estimate the instantaneous velocity when t = 2. ft/s

College Algebra
10th Edition
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 in the air with a velocity 42 ft/s, its height in feet t seconds later is given by y = 42t – 16t2.
(a) Find the average velocity for the time period beginning when t = 2 and lasting
(i) 0.5 second.
ft/s
(ii)
0.1 second.
ft/s
(ii)
0.05 second.
ft/s
(iv)
0.01 second.
ft/s
(b) Estimate the instantaneous velocity when t = 2.
ft/s
Transcribed Image Text:If a ball is thrown in the air with a velocity 42 ft/s, its height in feet t seconds later is given by y = 42t – 16t2. (a) Find the average velocity for the time period beginning when t = 2 and lasting (i) 0.5 second. ft/s (ii) 0.1 second. ft/s (ii) 0.05 second. ft/s (iv) 0.01 second. ft/s (b) Estimate the instantaneous velocity when t = 2. ft/s
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