Given:
s(t) = -16t^2+1000
lim t->a = (s(a) - s(t)) / (a - t)
Drop from 1000 feet
a) When will it hit the ground?
b) At what velocity will it impact?
s(t) = -16t^2+1000
lim t->a = (s(a) - s(t)) / (a - t)
Drop from 1000 feet
a) When will it hit the ground?
b) At what velocity will it impact?
-
16t² = 1000
t² = 62.5
t ≈ 7.906 s
s'(t) = -32t
s'(7.906) ≈ -253 ft./s
t² = 62.5
t ≈ 7.906 s
s'(t) = -32t
s'(7.906) ≈ -253 ft./s