What is the time of flight of a projectile on a horizontal plane, where u is the initial velocity of projectile, θ is the angle of inclination, and g is the gravitational acceleration?  

Explanation:

Projectile motion: A kind of motion that is experienced by an object when it is projected near the Earth's surface and it moves along a curved path under the action of gravitational force.

• When a particle moves in projectile motion, its velocity has two components.
  1. ​​vertical component (u sinθ)
  2. horizontal component (u cosθ)

• There is no acceleration or forces in the horizontal direction so the horizontal component of velocity (u cosθ) will remain constant.

The range of the projectile,

R = u cos θ × t

Whereas the time of flight is the total time for which the projectile stayed in the air.

Time of Flight: 

The time of flight of projectile motion is the time from when the object is projected to the time it reaches the surface.

• The mathematical expression of the time of flight is -

The angle of projection = θ, Initial velocity = u, Gravitational acceleration = g, Time of flight = t, Range of projectile = R

Maximum height:

It is the maximum height from the point of projection, a projectile can reach

• The mathematical expression of the maximum height is -

Horizontal Range:

The range of the motion is fixed by the condition y = 0.

• The mathematical expression of the horizontal range is -

Where R is the total distance covered by the projectile.