The projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s(t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is –4. 9 m/s2. A rocket is launched from the ground at an initial velocity of 39. 2 meters per second. Which equation can be used to model the height of the rocket after t seconds?.