Projectiles

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• 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 iss=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 accelerationLet Vx be the horizontal component of the velocity

• Projectile Motion Components Picture (image/jpeg)

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

• Projectile Motion1 (image/jpeg)

• 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=0Find the vertical displacement using t=1/2 x T