Question

WILL GIVE MEDAL AND FAN
The position of an object at time t is given by s(t) = -9 - 5t. Find the instantaneous velocity at t = 4 by finding the derivative.

Answer 1

Given that s(t)=-9-5t, find s '(t) (the derivative). Know how to differentiate -9? -5t?

If so, share your results here.

Answer 2

If not, what do you need help with?

Answer 3

\[v(t) = \frac{ ds(t) }{ dt }\]

Answer 4

So as @mathmale as requested, taking the first derivative will give you the velocity, you have done derivatives right?

Answer 5

not really, this question is just a worksheet for the beginning of a chapter to see what know, but I am actually curious how to solve it

Answer 6

Keep this in mind:

1) The derivative of a constant is zero.
2) The derivative of a power of x, such as x^n, is\[\frac{ nx ^{n-1} }{ }\]

Answer 7

Sure we can try that way

Answer 8

Mhm, well in that case you should read up on derivatives, have you heard of the derivative using a limit definition? It requires quite a bit of information to tackle this problem, but if you want to know how to do this with no context, we can apply the power rule,
\[\frac{ d }{ dx } x^n = nx^{n-1} \]
and then substitute t=4 once we have the velocity.

Answer 9

Abbs....would you please try doing this yourself, using the rules given you?

Answer 10

\[\frac{ d }{ dx }x ^{1}=\frac{ d }{ dx }x=\frac{ dx }{ dx }=?\]

Answer 11

KK I am trying it now

Answer 12

That's "the derivative of the first power of x."