Mechanical Engineering - Engineering Mechanics - Discussion

What is projectile upward, downward?

I Guess the Range of the projectile depends on the angle of the upward and downward inclination.

If they have the same inclination angle, the range of the would be same. If there is the difference in their angle, then the range of the projectile will also be affected. What do you say?

The range of projectile on downward inclination is always less than the range of projectile in upward inclination plane in general (you can observe the same by throwing a ball in the air).

And the angle of projection of downward inclined projectile is always greater compared to upward one. Now as per condition of the statement given in question VELOCITY AND ANGLE OF PROJECTION MUST BE SAME IN BOTH UPWARD AND DOWNWARD INCLINATION. In the hypothetical condition in which angle of inclination is same the range of downward projectile need to be increased and it becomes greater than the range of the upward projectile.

This can be easily explained with diagrams.

It's quite obvious that when the ANGLE OF PROJECTION IS SAME, the range of the projectile is more when the inclination is downwards than when the inclination is upwards.

The upwards inclination already reduces the distance the body can travel when projected as compared to a downwards inclination.

Just employ imagination and diagrams. Better still, try it out on a hill.

In case of downward direction gravity helps to velocity weather the upward direction gravitational force opposes the moving velocity.

That's why the range of projectile on a downward inclined plane is MORE THAN the range on upward inclined plane for the same velocity of projection and angle of projection.

Gravity helps to increase speed in downward direction.

What is projectile?

Projectile means any particle moves in space under gravity.

Projectile is object which is projected either upward or downward.

What is gravity?