Nic is standing on top of the 20 story (15 feet per floor) building. He stands at ledge of building and shoots rocket straight up in air with velocity of 54 ft/sec. Ii comes down directly besides building.
A. Write the equation giving height of rocket as the function of time?
B. When rocket passes 8th floor?
C. When rocket hits ground?
D. Where is rocket after three sec?
E. Find max height it reaches and what time it reaches this height?
F. How long is rocket in air?
G. Find domain for real world problem?
H. Find range for real world problem?
I. If first stage of rocket detaches and falls away at moment of takeoff find difference in time from first stage hits ground and rocket lands?
J. Assume the person held the different rocket 5 ft above ground and shot it off. It takes .1 sec for rocket to hit ground. Find rockets initial velocity? What velocity tells about path of rocket?