Definition of a projectile

Examples of projectiles A golf ball hit off the tee A stone kicked off the top of a cliff A tennis ball served horizontally A cricketer hitting a ball A child throwing a ball at a wall A gun firing a shell A cricket bowler releasing a ball Examples of projectiles include: An arrow fired at an archery target

u ms -1 Any particle projected at an angle will have an initial horizontal and vertical speed

u ms -1 θ ucosθ ms -1 usnθ ms -1 The horizontal speed will be constant as there is no acceleration in this direction The vertical speed will change over time because of the acceleration due to gravity (a = 9.8ms -2 ) Greatest height Range Remember this!!!!

Deriving Equations for x and y y x u ms -1 (0,0) α integrate v α

Equation of the parabola

Time of Flight If the plane is horizontal then the projectile will hit the ground when y = 0. Subbing y = 0 into the expression for y will give the time the projectile spends in flight.

Notes:

A ball is to be thrown from a height of 2m vertically above the floor into the centre of a net which is 3m vertically above the floor and 4m horizontally from where the ball is thrown, as indicated in the diagram below. Assume that the ball can be modelled by a particle moving under constant gravity and that frictional forces are negligible. The ball is projected, at angle to the horizontal, with initial speed v m/s., show that Given that the maximum vertical height reached above the floor the value of, the angle to the vertical at which the ball drops into the centre of the net. Given that calculate