If a ball is thrown into the air with a velocity of 50 ft/s, its height in feet t seconds later is given by y = 50t - 16t². (a) Find the average velocity for the time period beginning when 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) Estimate the instantaneous velocity when t = 2. ft/s
If a ball is thrown into the air with a velocity of 50 ft/s, its height in feet t seconds later is given by y = 50t - 16t². (a) Find the average velocity for the time period beginning when 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) Estimate the instantaneous velocity when t = 2. ft/s
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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Transcribed Image Text:If a ball is thrown into the air with a velocity of 50 ft/s, its height in feet t seconds later is given by y = 50t - 16t².
(a) Find the average velocity for the time period beginning when 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) Estimate the instantaneous velocity when t = 2.
ft/s
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