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

Question

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

amistre64 · Answer

do you know about derivatives?

anonymous · Answer

yes

amistre64 · Answer

to find velocity at a given moment, also known as instantaneous velocity, we need to know how to take the derivative of an equation; good

amistre64 · Answer

whats the derivative that you come up with here?

anonymous · Answer

well 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

amistre64 · Answer

got a few typos in that, but yes, the premise is good

amistre64 · Answer

-16t^2 results in -32t

so our velocity at t=4 is -32(4) = -128

amistre64 · Answer

ft per second

anonymous · Answer

oh ok, thanks again!

anonymous · Answer

-128 ft/sect