# calculus 3

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A ball is thrown northward into the air from the origin in three dimensional space ( the xy plane is the ground, the positive y-axis points north, positive x-axis is east and the positive z – axis is height above the ground ). The initial velocity of the ball is V0 = < 0,80,80>. The units are in feet/sec. There is a spin on the ball that causes an eastward acceleration of 2 feet/sec2 in addition to acceleration due to gravity. Find the velocity vector function v(t) and the position vector function r(t) and determine when and where the ball hits the ground and at what speed.

• calculus 3 -

both the balls will meet at 8.9m above

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