Presentation on theme: "Motion in 2 Dimensions Projectile Motion"— Presentation transcript:
1 Motion in 2 Dimensions Projectile Motion Projectile, any object launched through the air.Trajectory, the path a projectile takes as it travels through space.The path the trajectory takes depends on the view.The distance it travels is called its range.
2 Fun, right.The trajectory of any object launched into the air can be broken up into two components, if we ignore air resistance. Vertical = gravitational forceHorizontal = applied forceHorizontal remains constant while the vertical will either increase or decrease depending on the direction.
3 The time an object in free fall takes to hit the ground can be determined by taking the square root of 2d/gThe distance fallen d = 1/2at2These two equations are derived from the distance with average acceleration equation. The maximum height of a projectile is this same equation with diff variables.(Memorize them)
4 Aw, you’re tire is all flat and junk. Remember, gravity works on all objects equally.Which ball would hit first: One dropped from a height of 2 meters or another thrown horizontally with a velocity of 20m/s at a height of 2 meters?
5 The horizontal and vertical components can be calculated by the following: Vx= Vo CosVy = VoSinAt any given point in time is represented by:X = VxT = VoCosTY = VyT = VoSinT – 1/2gt2
6 Range can be found with the equation R = VxT= 2VxVy/gLets try a couple.
7 Velocity is speed with direction Acceleration is a change in speed or directionUniform circular motion is the movement of an object at a constant speed around a circle with a fixed radiusThis object would travel at a constant velocity but not at a constant acceleration
8 Objects traveling in a circle accelerate towards the center, centripetal acceleration Ac = V2/r or Ac= 4pi2r/T2The force that causes centripetal acceleration is represented by F = macThe time it takes an object to travel around a circle is called the period
9 Last but not least,Motion aka velocity is relative to a frame of reference.Relative velocity is represented by the following: va/b + Vb/c = Va/cTo simplify Va/b and Vb/c are similar to x and y components or (a) and (b) in the pythagorean theorem