A ball thrown horizontally with speed vi = 23.0 m/s travels a horizontal distance of d = 59.0 m before hitting the ground. from what height h was the ball thrown?

h = 32.2 m

Assuming no air resistance, you can determine how long the ball traveled by dividing the distance traveled by the velocity. So t = 59.0 m / 23 m/s = 2.565217 seconds. Once you know how much time was taken, you can then use the formula d = 1/2AT^2 to determine how far the ball will have dropped. Using A = 9.8m/s^2 and T = 2.565217 seconds we get h = 1/2 * 9.8 m/s^2 * (2.565217 s) ^2 = 4.9 m/s^2 * (6.58 s^2) = 32.242 m Rounded to the nearest tenth, you have 32.2 m