If a projectile is thrown obliquely both at earth and moon and the angle of projection with the horizontal and the initial speed of throw is same in both earth and moon then which projectile will cover the maximum height?

1 Answer
Aug 11, 2017

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Maximum height is reached when sinθ component of the velocity of projectile becomes 0 (zero)
Use the kinematic formula

v2u2=2gh

Since force of gravity is acting against the direction of vertical component of initial velocity so it is deceleration.
Substituting various values

02(usinθ)2=2(g)h
h=u2sin2θ2g

Acceleration due to gravity on the Earth is =9.81ms2 and acceleration due to gravity on the surface of the Moon is =1.625ms2

From the derived expression for maximum height we see that for same initial velocity and same angle of projection

h1g

Maximum Height attained on moon will be greater.