  An object is dropped off a building. Ignoring air resistance, the height above the ground t seconds after being droppedgiven byh(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 help_outlineImage TranscriptioncloseAn 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 fullscreen
Step 1

Consider the given height function

Step 2

Subpart (a)

Now rate of change of the height

Step 3

Subpart (b)

So rate of change of height will be speed in term of t...

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Derivative 