Question

Find the instantaneous velocity, using limits, for the given value of t of an object moving according the given equation.
a. s(t)=t^2–8t+18 ; t=3

b. 𝑠(𝑡)=1/t^2 ; t=1

Answer 1

v(t) = ds/dt, so

(a) v(t) = 2t-8
(b) v(t) = -2/t^3

Just plug in your numbers.

Answer 2

steve i got that for a but we werent allowed to use derivative rules to get the answer because we havent learned those yet. and from getting 2t-8 would i just plug in 3 for t because if so i got -2

Answer 3

yes.

I forgot that it said "using limits". Sorry. It's just back to basics.

Answer 4

Thanks for your help Steve. I appreciate it. and yes it is back to basic tedious work where as doing it using derivatation is a lot less steps