Question

A boy in a tower throws a ball a distance of 60 meters. If the ball is launched from 20 m above the ground, at what speed is the ball thrown?

Answer 1

The speed the ball was projected upwards is 29.7 m/s.

The given parameters;

• height in which the ball was thrown, h = 20 m

• distance traveled by the ball, X = 60 m

The time of motion of the ball to travel to the given height is calculated as;

$h = v_0_yt - \frac{1}{2} gt^2\\\\-20 = 0 - 0.5\times 9.8t^2\\\\-20 = -4.9t^2\\\\t^2 = \frac{20}{4.9} \\\\t^2 = 4.08\\\\t = \sqrt{4.08} \\\\t = 2.02\ s$

The horizontal speed in which the ball was projected upwards is calculate as;

X = (v₀ₓ)t

60 = 2.02v₀ₓ

$v_0_x = \frac{60}{2.02} \\\\v_0_x = 29.7 \ m/s$

Thus, the speed the ball was projected upwards is 29.7 m/s.

Learn more here: brainly.com/question/20064545