Question

MEDALLSS if someone can give me the answer to this please and help me!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 derivative.

Answer 1

do you know how to take the derivative

Answer 2

sort of @optiquest butid rather have you show me so i can learn it for these type of problems if you dont mind!

Answer 3

0th derivative is position, 1st derivative is velocity, 2nd is accelation

\[s'(t) = -9\]

Answer 4

\[s'(1) = -9\]

Answer 5

okay i see

Answer 6

\[f(t) = a t^n \]
\[f'(t) = (n-1) * a * t ^{n-1}\]

Answer 7

oops

Answer 8

okay so would would i do now with that equation! plug in the numbers!? i just dont know what goes where now @optiquest

Answer 9

(n-1) should be (n)

Answer 10

nothing else to do

Answer 11

f′(t)=(n)∗a∗tn−1 okay

Answer 12

so the answers f′(t)=(n)∗a∗tn−1!?

Answer 13

its -9

Answer 14

ohhhh okay i see how that is

Answer 15

thank you :) @optiquest

Answer 16

np