Question

A celling of a long hall is 25m high what is a maximum horizontal distance that ball must be throw with 40m/s so it goes without hitting to celling

Answer 1

Answer:

Maximum height, h = 25 m

In projectile motion, the maximum height reached by a body projected at an angle θ, is given by the relation:

h = u2 Sin2θ / 2g

25 = (40)2 Sin2θ / 2 × 9.8

sin2 θ = 0.30625

sin θ = 0.5534

∴ θ = sin–1(0.5534) = 33.60°

Horizontal range, R = u2 Sin 2θ / g

= (40)2 × Sin (2 × 33.600) / 9.8

= 1600 × Sin (67.2) / 9.8

= 1600 × 0.922 / 9.8 = 150.53 m