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r-ruslan [8.4K]
3 years ago
10

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
Mathematics
2 answers:
IgorLugansk [536]3 years ago
7 0

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.

finlep [7]3 years ago
3 0
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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