If we ignore air resistance, a falling body will fall 16t2feet in t seconds. Estimate its instantaneous velocity at t=2 using difference quotients with h=0.1, 0.01, and 0.001. If necessary, round the difference quotients to no less than six decimal places and round your final answer to the nearest integer.

161.6, 160.16,160.016

Explanation:

Given Data:

t = 5

difference quotients ; h= 0.1, h= 0.01, h=0.001

According to difference quotient

V =

where x = 5 = t and f=16t²

we get,

v = [16(5+h)² - 16(5)²]/h

v =16h + 160

Now,

At h=0.1; we get v= 161.6

At h=0.01; we get v= 160.16

At h=0.001; we get v= 160.016

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