Posted by **Disha** on Monday, November 26, 2012 at 11:49pm.

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**, Monday, November 26, 2012 at 11:51pm
okay - another power example. What do you get?

- calculus -
**Disha**, Tuesday, November 27, 2012 at 12:01am
do i plug 3 in for t?

- calculus -
**Steve**, Tuesday, November 27, 2012 at 12:03am
first take the derivative, which is the velocity at any instant.

ds/dt = ft/s, or velocity

Plug 3 into that.

- calculus -
**jessica**, Tuesday, November 27, 2012 at 12:09am
its going to be 32 hun

- calculus -
**Steve**, Tuesday, November 27, 2012 at 12:18am
Hmm. How did you get that, jessica?

f'(t) = -32t + 160

f'(3) = -96 + 160 = 64

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