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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