Math Challenges

Problem #23

Tag: calculus

Average and Instantaneous Velocity
A ball is thrown into the air with a velocity of 40 ft/s. Its height in feet t seconds later is given by the equation below.

Find the average velocity of s over a time period beginning at t = 2 and lasting
a) 0.5 seconds
b) 0.1 seconds
c) 0.05 seconds
d) 0.01 seconds

Estimate the instantaneous velocity at t = 2

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