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If a construction worker drops a wrench

from the top of a building 375 feet high the

wrench will be

s(t) = −16t2 + 375

feet above the ground after t seconds.

Determine the velocity of the wrench 4 seonds after it was was dropped.


Answer in units of ft/sec

...?

Verified Answer :

syed514

To find velocity at a given moment, also known as instantaneous velocity, we need to know how to take the derivative of an equation;
you can take the derivative of s(t)=62t^2+ 375 by first moving the 2 in front of 162 and multiply both which well give you 324t and 375 will turn to 0
-16t^2 results in -32t
so our velocity at t=4 is -32(4) = -128ft per second

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