Joe drops a ball from H = 5 m. How long does it take to fall to the ground? The ball accelerates due to gravity at a constant rate of a = - 9.8 m/s^2 Using the equations of 1-D kinematics, we can write its position as a function of time as y(t) = H + 0.5 * a * t^2 If we set the final position y = 0 m, then we can find the time like so: 0 m = 5 m + 0.5 * a * t^2 -5 m = + 0.5 * a * t^2 -10 m = (-9.8 m/s^2) * t^2 10 m t = sqrt ( --------- ) = 1.01 s 9.8 m/s^2