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 Pre-Calculus and Calculus
 instantaneous velocity
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thenuttyprofessor
New Member

USA
1 Posts

Posted - 10/13/2007 :  19:25:09  Show Profile
if s(t)=2t+3t+4, what is the instantaneous velocity at t=2?

answer the instantaneous velocity at t=2 is the first derivative at t=2.

S'4t+3, let t=2 you get 11

i'm new to calculus and i don't understand how s' is 4t3. can someone explain the thought process to me please. i thought the answer would be 8+6+4
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royhaas
Moderator

USA
3059 Posts

Posted - 10/13/2007 :  20:00:59  Show Profile
All you did was evaluate S(2). You need to review your notes or your textbook. Also, it helps if you know that instantaneous velocity is the derivative of distance with respect to time.

If you don't know that s' = 4t+3, you really need to check your notes or talk to your instructor.
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