Rules of Projectile MotionRules of Projectile Motion

The x- and y-directions of motion The x- and y-directions of motion can be treated independentlycan be treated independently

The x-direction is uniform motionThe x-direction is uniform motion aaxx = 0 = 0

The y-direction is free fallThe y-direction is free fall aayy = -g = -g

The initial velocity can be broken The initial velocity can be broken down into its x- and y-componentsdown into its x- and y-components

Projectile MotionProjectile Motion

Some Variations of Some Variations of Projectile MotionProjectile Motion

An object may be An object may be fired horizontallyfired horizontally

The initial velocity The initial velocity is all in the x-is all in the x-directiondirection vvoo = v = vxx and v and vyy = 0 = 0

All the general All the general rules of projectile rules of projectile motion applymotion apply

Non-Symmetrical Non-Symmetrical Projectile MotionProjectile Motion

Follow the Follow the general rules for general rules for projectile motionprojectile motion

Break the y-Break the y-direction into direction into partsparts up and downup and down symmetrical back symmetrical back

to initial height to initial height and then the rest and then the rest of the heightof the height

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Solving Relative Velocity Solving Relative Velocity ProblemsProblems

The pattern of subscripts can be The pattern of subscripts can be useful in solving relative velocity useful in solving relative velocity problemsproblems

Write an equation for the velocity Write an equation for the velocity of interest in terms of the of interest in terms of the velocities you know, matching the velocities you know, matching the pattern of subscriptspattern of subscripts

bcabac vvv

Slide 7

Fig. 3.17, p. 71

Slide 8

Fig. 3.18, p. 72