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Projectile Motion
w/o gravity, a tossed object that follows a straight line path, w/ gravity the same object tossed at an angle that follows a curved path
Projectile
any object that moves through the air or space under the influence of gravity
Projectile motion is a combination of?
horizontal and vertical components
Projectiles launched horizontally
Does not change, the ball travels the same horizontal distance in equal times, remains constant
projectile launched vertically
become farther apart with time, gravity acts downward so the ball accelerates downward
curvature of path
the combination of horizontal and vertical components of motion
parabola
curved path of a projectile that undergoes acceleration only in the vertical direction, while moving horizontally at a constant speed
projectiles launched at an angle
vertical and horizontal components are independent of each other
rules of projectile motion
the x and y directions of motion are completely independent of each other, the x direction is uniform motion, the y direction is free fall, the initial velocity can be broken down into its x and y components
equation for motion in the X direction
Vx = ViCOS(0)
equation for motion in y
Vy=ViSIN(0)-g(t)
path of projectile following a parabolic trajectory
horizontal component along trajectory remains unchanged, only vertical component changes, velocity at any point is computed with pythagorean theorem
without air resistance…
the time for a projectile to reach maximum height is the same as the time for it to return to its initial level
different horizontal distances
same range is obtained from two different launching angles when the angles add up to 90 (60+30), maximum range occurs for ideal launch at 45, with air resistance the maximum range occurs for a baseball batted at less than 45 above the horizontal (~25-34), w/ air resistance the maximum range occurs when a golfball is hit at an angle less than 38