A stone is dropped from the upper observation deck of a tower, 950 m above the ground. (Assume g = 9.8 m/s².)
(a) Find the distance (in meters) of the stone above ground at time t.
s(t) = \frac{-49}{10}t^2 + 950
(b) How long does it take the stone to reach the ground? (Round your answer to two decimal places.)
13.92 s
(c) With what velocity does it strike the ground? (Round your answer to one decimal place.)
-136.6 m/s
(d) If the stone is thrown downward with a velocity of 3 m/s, how long does it take to reach the ground? (Round your answer to two decimal places.)
-0.31 s