An object is dropped off a building. Ignoring air resistance, the height above the ground t seconds after being dropped given by h(t)16 220 feet (a) Use the limit definition of the derivative to find a rate-of-change equation for the height. h'(t) feet per second (b) Use the answer to part (a) to determine how rapidly the object is falling after 2 seconds. feet per second

Question
An object is dropped off a building. Ignoring air resistance, the height above the ground t seconds after being dropped
given by
h(t)16 220 feet
(a) Use the limit definition of the derivative to find a rate-of-change equation for the height.
h'(t)
feet per second
(b) Use the answer to part (a) to determine how rapidly the object is falling after 2 seconds.
feet per second

Image Transcription

An object is dropped off a building. Ignoring air resistance, the height above the ground t seconds after being dropped given by h(t)16 220 feet (a) Use the limit definition of the derivative to find a rate-of-change equation for the height. h'(t) feet per second (b) Use the answer to part (a) to determine how rapidly the object is falling after 2 seconds. feet per second

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Calculus

Derivative

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