A stone is dropped from the upper observation deck of a tower, 150 m above the ground. (Assume g = 9.8( m)/(s)2.)
(a)
Find the initial values of the velocity v (in( m)/(s)) and the distance s (in meters) of the stone above the ground.
v(0) =
( m)/(s)
s(0) =
m
Find the velocity (in( m)/(s)) of the stone at time t.
v(t) =
( m)/(s)
Find the distance (in meters) of the stone above ground at time t.
s(t) =
m
(b)
How long (in seconds) does it take the stone to reach the ground? (Round your answer to two decimal places.)
s
(c)
With what velocity (in( m)/(s)) does it strike the ground? (Round your answer to one decimal place.)
( m)/(s)
(d)
If the stone is thrown downward with a velocity of 6( m)/(s), how long (in seconds) does it take to reach the ground? (Round your answer to two decimal places.)