(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A perfectly spherical ball is launched horizontally with a linear velocity of 9.9 m/s and an angular velocity (perpendicular to its trajectory) of 4.1 m/s. The ball's mass is 5.0g. (Diagram for explanation of coordinate system)

http://img221.imageshack.us/img221/2341/dddlcv.png [Broken]

Find the landing position of the ball (its y and z coordinates).

b. If the rotational kinetic energy is increased by 10%, find the new landing position of the ball.

2. Relevant equations

Rotational KE = .5Iw^2

For a perfectly spherical projectile, I = 2/5 (MR^2)

Translational KE = .5mv^2

[PLAIN]http://www.sentynel.com/suvat.png [Broken]

3. The attempt at a solution

For y coordinate, simply use v=x/t in x direction to find t - t=x/v=4.102/9.9=0.414s.

then, since in the y direction u=0 and a=9.8m/s^2, s=ut+.5at^2=0.83m above the ground on the wall.

I have no clue how to go about the z coordinate. Please help, someone.

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# 3D Projectile Motion: Finding Y and Z Coordinates of Landing Position of Ball

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