Question

an object dropped from rest from the top of a tall building falls y=16t^2 feet first t seconds
(a)find teh speed of a object at t=3s and confirm algebraically

Answer 1

@Chyme u r right could you continue from the lim plz

Answer 2

lim Δx→0 f(x+Δx)−f(x) /Δx

in this case we substitute f(x) for f(t) and we get
\[\lim Δt→0\frac{ f(t+Δt)−f(t)}{ Δt } \]

Now plug in f(t)=16t^2
\[\lim Δt→0\frac{ 16(t+\Delta t)^2−(16t^2)}{ Δt } \]

Answer 3

with me so far?

Answer 4

yes

Answer 5

wanna take a shot at simplifying and solving?

Answer 6

yes

Answer 7

you want to make sure you get rid of the Delta t on the bottom by some algebra

Answer 8

alright thx

Answer 9

np