Posted by John on Sunday, November 13, 2011 at 7:15pm.
A stone is dropped from the upper observation deck of a tower, 200 m above the ground. (Assume g = 9.8 m/s^2.)
a)Find the distance (in meters) of the stone above ground level at time t.
b)With what velocity does it strike the ground? (Round your answer to one decimal place.)
c)If the stone is thrown downward with a speed of 2 m/s, how long does it take to reach the ground? (Round your answer to two decimal places.)

Calculus  Damon, Sunday, November 13, 2011 at 7:26pm
a = g = 9.8
v = vi + a t = 0 9.8 t
h = hi+vi t +.5 a t^2 = 200 +0 4.9 t^2
there is an easy way to find v at ground using energy but this is calculus, not physics so:
0 = 200  4.9 t^2
t = 6.39 seconds to hit
v = 0  9.8 (.39 )
= 62.6 or 62.6 meters/second down
now if vi = 2
0 = 200  2t  4.9 t^2
4.9 t^2 + 2 t  200 = 0
solve with quadratic equation
Answer This Question
Related Questions
 calculus  A stone is dropped from the upper observation deck (the space deck) ...
 Physics  A stone is dropped from a tower 100 meters above the ground. The stone...
 Physics  A stone is thrown from the top of a tower of height 60m with velocity ...
 Calculus  this homework is due in one hour and i have no idea how to answer ...
 Math  A stone is thrown vertically upwards from a platform 60meters above the ...
 physics  A stone is launched straight up by a slingshot. Its initial speed is ...
 physics  A suspension bridge is 66.0 m above the level base of a gorge. A stone...
 physics  A stone is thrown straight up from the ground with an initial speed of...
 Physics  A boy whirls a stone in a horizontal circle of radius 1.2 m and at ...
 Physics  A Stone Of Mass 1kg Is Dropped From Rest From A Window 20m Above The ...
More Related Questions