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7. The horizontal velocity of a projectile is assumed constant, vx vo cos Bo- The vertical velocity of the ball can be written as a function of time, vy(t) vo sin o + ayt, where the acceleration ay in the y-direction is assumed constant. a. Set the origin of the coordinate system at the initial position, and use the methods of calculus to write the vector position of the ball as a function of time, ř(t) x(t)i+ y(t)j b. Find the magnitude and direction of the vector position of the ball as functions of time, r(t) and 8(0).

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