NEET 2014 Physics Range and Time of Flight MCQ Question
A projectile is fired from the surface of the earth with a velocity of 5 m s⁻¹ and angle θ with the horizontal. Another projectile fired from another planet with a velocity of 3 m s⁻¹ at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is (in m s⁻²) (given g = 9.8 m s⁻²)
3.5
5.9
16.3
110.8
Correct Answer
Detailed Explanation
The range and time of flight depend on the ratio v²/g. Since the trajectories are identical, (5²/9.8) = (3²/gₚ), solving gives gₚ = 3.5 m/s².
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