Projectile Motion Projectiles The Range Equation

Projectile Motion A projectile is an object that is moving through the air and accelerating due to gravity –Projectiles must be separated into their x and y components because the motion is taking place in 2 dimensions The range is the horizontal displacement of the projectile (∆d x )

Projectile Motion - Properties The horizontal motion of a projectile is constant The horizontal component of acceleration of a projectile is zero (ex: v iy at max height is zero) Vertical acceleration is constant due to gravity The horizontal and vertical components are independent, but they share the same time

The Equations

P.M. with No Initial Vertical Velocity An airplane carries relief supplies to a motorist stranded in a snowstorm. The pilot cannot safely land, so he has to drop the package of supplies as he flies horizontally at a height of 350 m over the highway. The speed of the airplane is a constant 52 m/s. –Calculate how long it takes for the package to reach the highway –Determine the range of the package

P.M. with An Initial Vertical Velocity A golfer hits a gold ball with an initial velocity of 25 m/s at an angle of 30.0° above the horizontal. The golfer is at an initial height of 14 m above the point where the ball lands. –Calculate the maximum height of the ball –Determine the ball’s velocity on landing

Do the practice problems on page 40

The Range Equation If a projectile is launched and lands at the same height as it was originally launched, then ∆d y = 0 We can use this information to derive the range equation

Example – Range Equation Suppose you kick a soccer ball at 28 m/s toward the goal at a launch angle of 21°. –How long does the soccer ball stay in the air? –Determine the distance the soccer ball would need to cover to score a goal (the range).

Do the practice problems on page 42

Classwork/Homework Page 43 #’s: 2, 4, 5, 7