The position of an object at time t is given by s(t) = -8 - 9t. Find the instantaneous velocity at t = 1 by finding the derivati
ve. USING THE LIMIT FORMULA TO FIND THE DERIVATIVE
2 answers:
Answer:
Instantaneous velocity at t = 1 by finding the derivative is -9 units.
Step-by-step explanation:
The position of an object at time t is given by s(t) = -8 - 9t
Displacement, s(t) = -8 - 9t.
We need to find the instantaneous velocity at t = 1 by finding the derivative.
We have
s'(t) = 0 - 9 = -9
s'(1) = -9
So Instantaneous velocity at t = 1 by finding the derivative is -9 units.
Ughhh...the limit formula...this should be thrown in the trash the minute you start doing derivatives :P
(-8-9(t+d)-(-8-9t))/(t+d-t)
(-8-9t-9d+8+9t)/d
-9d/d (which is -9 for any value of d as well as when d approaches zero)
-9
So the instantaneous velocity is regardless of t or delta t
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