Isaac Newton developed a formula for the height, h, of an object at time t seconds with an initial upward velocity v0 and initial height h0. This formula is as follows: h=1/2gt^2+v0t+h0, where g is a constant denoting acceleration due to gravity. Ignoring the effects of air resistance, g=32(ft/sec^2) or g=9.8(m/sec^2). Knowing this, a rocket carrying fireworks is launched from a hill 50 feet above a lake with an initial velocity of 64 feet per second. The rocket will fall into the lake after exploding at its maximum height. When will the rocket be 90 feet in the air? Select all that apply. A. 0.78
B. 1.23
C. 3.22
D. 4.55
E. 4.67