Question

The position of an object at time t is given by s(t) = -1 - 13t. Find the instantaneous velocity at t = 8 by finding the derivative. Any help would be appreciated. :)

Answer 1

HI!!

Answer 2

HI!

Answer 3

if \(s\) is the position, and it is a line \(s(t)=1-13t\) then the velocity is the slope, which is evidently \(-13\)

Answer 4

How did you get that?

Answer 5

the slope?

Answer 6

just like \(y=mx+b\) the slope is \(m\)

Answer 7

you have \[-13t+1\] the slope is \(-13\)

Answer 8

Oh, it was that simple.. thanks XD

Answer 9

But what if t=8?

Answer 10

slope of a line does not depend on the number for \(t\) it is a constant
in this case \(-13\)

Answer 11

they just threw that in there to confuse you i guess

Answer 12

ok thank you