Question

A big stone of mass 1000 g, projected at an angle of 30° from the ground it covers a maximum vertical distance of 5 m, acceleration due to gravity is g = 10 m/s^2, what is the velocity with which it was thrown?

(a) 11.55 m/s

(b) 11.5 m/s

(c) 1.155 m/s

(d) 12.0 m/s

The question was asked by my school teacher while I was bunking the class.

This is a very interesting question from Simple Projectile Motion topic in portion Motion in a Plane of Physics – Class 11

Answer 1

Right answer is (a) 11.55 m/s

The explanation: The maximum vertical distance is the maximum height. The formula for maximum height is h = (v sinθ) ^2/2g. Here, h = 5, θ = 30°, g = 10. Hence, on solving we will get the initial velocity as 11.55 m/s. The result can be cross checked by putting this value of velocity and finding out the maximum height.