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When a chronometer begins with a time of zero seconds, two soccer balls share a common height, h1, above the ground, and they have a horizontal separation, d. The ball on the left has a horizontal velocity with magnitude v0 directed toward the right, and the other soccer ball is momentarily at rest. A short time later, the two soccer balls collide at the collision point, C, at a height h2 above the ground, as indicated on the diagram. Ignore the finite size of the balls, and additionally ignore any air resistance.
a. using point O as the origin of the coordinate system with the coordinate directions shown on the diagram create an expression for the horizontal coordinate of the ball on the left which is valid for all times from the release of the two soccer balls until they collide.
b. using point O as the origin of the coordinate system with the coordinate directions shown on the diagram create an expression for the vertical coordinate of the ball on the left which is valid for all times from the release of the two soccer balls until they collide.
c. using point O as the origin of the coordinate system with the coordinate directions shown on the diagram create an expression for the horizontal coordinate of the ball on the right which is valid for all times from the release of the two soccer balls until they collide.
d.using point O as the origin of the coordinate system with the coordinate directions shown on the diagram create an expression for the vertical coordinate of the ball on the left which is valid for all times from the release of the two soccer balls until they collide.
e. given d= 8.03 m, h1= 2.12 m, h2= 1.19 m compute the elasped time in seconds at which the two balls collide
f. given d= 8.03 m, h1= 2.12 m, h2= 1.19 m compute the magnitude in m/s of the iniital velocity of the ball on the left
