Atoy rocket is shot upward into the air from an initial height of 1/2 meter above the ground with an initial velocity of 19.6 meters per second. the formula for the vertical motion of an object is h(t)=1/2at^2+vt+s where the gravitational constant, a, is -9.8 meters per second squared, v is the initial velocity, s is the initial height, and h(t) is the height in meters modeled as a function of time, t. due to a malfunction, the toy rocket explodes when it reaches maximum height. how high above the ground is the toy rocket when it explodes?