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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/sThe 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»

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.



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