How far can he throw the same ball vertically upward with the same initial speed? Answer in units of m.

Question

A man can throw a ball a maximum horizontal distance of 101 m. The acceleration of gravity is 9.8 m/s 2 .

Answer 1

x = v₀cosαt; y = v₀sinαt - gt²/2; t = 0 or t = 2v₀sinα/g; x = v₀cosα·2v₀sinα/g, x = v₀²sin2α/g; x_max = v₀²/g; v₀² = g·

x_max;; 0² - gx_max = - 2gh; h = x_max/2 ]= 101m/2 = 50.5 m

maxsin2α = 1; 2α = 90°; α = 45°