Projectiles

Projectiles

Consider vertical and horizontal components separately

The only force acting vertically is the constant force due to gravity

There are no forces acting horizontally (ignoring air-resistance) ⇒ no acceleration ⇒ velocity is constant

∴ the only equation of motion is

s=ut

The trajectory is symmetrical

The time of flight is twice the time taken to reach the highest point

To find the range, use s=uT where T=time of flight and u=initial horizontal speed

The direction of motion is given by the direction of the velocity

A particle projected with speed v at angle θ to the horizontal will strike the ground at the same level with speed v at angle θ to the horizontal

Let Vy be the vertical component of the acceleration

Let Vx be the horizontal component of the velocity

https://dvapphysics.wikispaces.com/Projectile+Motion

To find the time of flight;

Find t when vertical displacement is zero:

s=0

To find the greatest height;

Find the vertical displacement when Vy=0

Find the vertical displacement using t=1/2 x T