Use the position function s(t) = -4.9t^2+200, which gives the height (in meters) of an object that has fallen from a height of 200 meters. The velocity at time t=a is given by limit t-a s(a)-s(t)/a-t. a) find the velocity of the object when t=4 b) at what velocity will the object impact the ground?

Question

Use the position function s(t) = -4.9t^2+200, which gives the height (in meters) of an object that has fallen from a height of 200 meters. The velocity at time t=a is given by limit t->a s(a)-s(t)/a-t.  a) find the velocity of the object when t=4 b) at what velocity will the object impact the ground?

tkhunny · Answer

That is NOT the velocity of the object at t = a.

You should have: limit t->a (s(a)-s(t))/(a-t)

The parentheses are NOT optional.

anonymous · Answer

yes he is right

anonymous · Answer

what you should do is limit t ->a(s(a)-s(t))/(a-t)