An object of mass m is projected horizontally from the top of a building. The object's initial velocity is v, its initial height is H, and it travels a horizontal distance D before striking the ground. Let t represent the time that the object is a projectile.

Write two equations that relate the quantities v, H, D, t, and fundamental constants

Write a single equation that expresses D in terms of v, H, fundamental constants, and NOT time.

Afaulty model rocket moves in the xy-plane (the positive y direction is vertically upward). the rocket's acceleration has components ax(t) = ? t2 and ay(t) = ? ? ? t, where ? = 2.50 m/s4 , ? = 9.00 m/s2 , and ? = 1.40 m/s3 . at t = 0 the rocket is at the origin and has velocity ~v0 = v0x ? i + v0y ? j with v0x = 1.00 m/s and v0y = 7.00 m/s. (a) calculate the velocity and position vectors as functions of time. (b) what is the maximum height reached by the rocket? (c) sketch the path of the rocket. (d) what is the horizontal displacement of the rocket when it returns to y = 0?