Question

If an object is thrown vertically upward with an initial velocity of v, from an original position of s, the height h at any time t is given by: h=-16t^2+vt+s (where h and s are in ft, t is in seconds and v is in ft/sec) If a rock is dropped from the top of a 200 ft building, solve for the time that it takes for it to hit the ground(when h=0) Hint: Initial velocity when dropped is 0. Round your answer to 2 decimals. Enter: seconds

Answer 1

since v=0,

h = -16t^2 + 200

0 = -16t^2 + 200
t = 3.54