Horizontal Range in Projectile Motion:
- The displacement in the horizontal direction is the projectile’s range.
- Because gravity only acts vertically, there is no acceleration in this direction.
- The range of the projectile, like the time of flight and maximum height, is determined by the initial speed.
The point O is called the point of projection; θ is the angle of projection and OB is the horizontal Range or Simply Range. The total time taken by the particle from reaching O to B is called the time of flight.
Formula for the projectile motion:
- The range of a projectile is the horizontal distance the projectile travels from the time it is launched to the time it comes back down to the same height at which it is launched.
- In a projectile motion, there is no horizontal acceleration at work. Therefore, the horizontal distance is determined by the initial velocity.
- Calculate the range of a projectile by using the formula given as,
R = u2sin2θ/g
Where, R is the horizontal range,
v is the initial velocity,
g is the acceleration due to gravity and
θ is the angle of the initial velocity from the horizontal plane (radians or degree).
