A projectile is fired from the surface of the earth with a velocity of 5 m s - 1 and angle θ with the…

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: (given g=9.8 m s-2)
  1. 3.5
  2. 5.9
  3. 16.3
  4. 110.8

Solution

The Equation of the Trajectory of a Projectile

y=xtanθ-gx22u2cosθ

y, x are Variable and θ is constant

so gu2=constant

g52=a32
a=9.8×925
a=3.5

Asked in: NEET 2014

Practice more Motion In Two Dimensions questions on Aicharya