Solve each problem. Give approximations to the nearest hundredth.

A toy rocket (not internally powered) is launched straight up from the top of a building 50 ft tall at an initial velocity of 200 ft per sec.

(a) Give the function that describes the height of the rocket in terms of time t.

(b) Determine the time at which the rocket reaches its maximum height and the maximum height in feet. 

(c) For what time interval will the rocket be more than 300 ft above ground level?

(d) After how many seconds will it hit the ground?