A model rocket is launched from a platform 2 feet above the ground with an initial upward velocity of 100 feet/second.

a. Write the equation using the formula h = -16t^2 + vt+c, where v is the initial upward velocity and c is the initial height.

b. At what time does the rocket reach its maximum height?

c. What is its maximum height?

d. At what time did the rocket return to the ground?

 e. Does the rocket reach a height of 150 feet? If so, how do you know? Explain your  answer. 

 f. Graph the path of the rocket using the information from part a to part d.