Projectile MotionHorizontal and Vertical MotionVector GravityMoving TargetVertical PullShoot the MonkeyHorizontal SpeedProjectile MotionProjectile MotionHorizontal and Vertical Horizontal and Vertical MotionMotionPosition, velocity and acceleration are vectors.Position, velocity and acceleration are vectors.These vectors can be separated into components.These vectors can be separated into components.•Choose x for horizontalChoose x for horizontal•Choose y for verticalChoose y for verticalThe equations for constant acceleration can be The equations for constant acceleration can be written separately in each coordinate.written separately in each coordinate.002210022100221rtvtarytvtayxtvtaxyyxxVector GravityVector GravityThe gravitational The gravitational acceleration is a vector.acceleration is a vector.The magnitude is 9.8 m/sThe magnitude is 9.8 m/s22..The direction is down.The direction is down.If there is only constant If there is only constant gravitational acceleration in gravitational acceleration in the the yy direction, the direction, the equations simplify for equations simplify for xx..002210022100rtvtgrytvgtyxtvxyxMoving TargetMoving TargetA target drops as a projectile is fired. To hit the target, A target drops as a projectile is fired. To hit the target, the projectile should be aimedthe projectile should be aimed•A) Above the target.A) Above the target.•B) At the target.B) At the target.•C) Below the target at the point they should collide.C) Below the target at the point they should collide.•D) Below the target under the point they should collide.D) Below the target under the point they should collide.Vertical PullVertical PullAll falling objects are subject All falling objects are subject to the same gravitational to the same gravitational acceleration.acceleration.The horizontal component The horizontal component doesn’t affect the downward doesn’t affect the downward acceleration.acceleration.Shoot the MonkeyShoot the MonkeyThe initial horizontal velocity The initial horizontal velocity doesn’t matter.doesn’t matter.All objects fall at the same All objects fall at the same vertical rate (neglecting vertical rate (neglecting friction).friction).At the collision the target fell At the collision the target fell a distance a distance yy = = dd..The time it fell comes from The time it fell comes from the acceleration.the acceleration.gdtgty/2221Horizontal SpeedHorizontal Speednextcos/cos/00000xxxxvvvvtxvxtvxThe point of collision measures the The point of collision measures the distance dropped since the ball was distance dropped since the ball was fired.fired.The time determines the horizontal The time determines the horizontal velocity of the ball.velocity of the ball.The angle of the launcher gives the The angle of the launcher gives the total velocity.total
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