Posted by Disha on .
the height in feet of a rocket from ground level is given by the function f(t)= 16t^2+160t. what is the instantaneous velocity of the rocket 3 seconds after it is launched?
A 32 feet/sec
B 64 feet/sec
C 12 feet/sec
D 10 feet/sec
E 8 feet/sec

calculus 
Steve,
okay  another power example. What do you get?

calculus 
Disha,
do i plug 3 in for t?

calculus 
Steve,
first take the derivative, which is the velocity at any instant.
ds/dt = ft/s, or velocity
Plug 3 into that. 
calculus 
jessica,
its going to be 32 hun

calculus 
Steve,
Hmm. How did you get that, jessica?
f'(t) = 32t + 160
f'(3) = 96 + 160 = 64