Projectile Motion. Horizontal and Vertical Motion  Position, velocity and acceleration are vectors.  These vectors can be separated into components.

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Presentation transcript:

Projectile Motion

Horizontal and Vertical Motion  Position, velocity and acceleration are vectors.  These vectors can be separated into components. Choose x for horizontalChoose x for horizontal Choose y for verticalChoose y for vertical  The equations for constant acceleration can be written separately in each coordinate.

Vector Gravity  The gravitational acceleration is a vector.  The magnitude is 9.8 m/s 2.  The direction is down.  If there is only constant gravitational acceleration in the  y direction, the equations simplify for x.

Moving Target  A target drops as a projectile is fired. To hit the target, the 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 Pull  All falling objects are subject to the same gravitational acceleration.  The horizontal component doesn’t affect the downward acceleration.

Shoot the Monkey  The initial horizontal velocity doesn’t matter.  All objects fall at the same vertical rate (neglecting friction).  At the collision the target fell a distance y =  d.  The time it fell comes from the acceleration.

Horizontal Speed next  The point of collision measures the distance dropped since the ball was fired.  The time determines the horizontal velocity of the ball.  The angle of the launcher gives the total velocity.