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5. An object moves in a horizontal plane with constant speed on the path shown. At which marked point is the magnitude of its acceleration greatest? A B Ꭰ E C

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Uniform Circular motion. 1. Mini Lecture 2. Let the position of a particle be given by: (t) = Rcos (wt)i + Rsin (wt)j 3. Calculate the expression for the velocity vector and show that the velocity vector is tangential to the circumference of the circle. 4. Calculate the expression for the acceleration vector and show that the acceleration vector points radially inward. 5. Calculate the magnitude of the velocity and magnitude of the acceleration, and therefore show that v2 a = R

4. A ball is thrown vertically up, its speed. slowing under the influence of gravity. Suppose (A) we film this motion and play the tape backward (so the tape begins with the ball at its highest point and ends with it reaching the point from which it was released), and (B) we observe the motion of the ball from a frame of reference moving up at the initial speed of the ball. The ball has a downward acceleration g in: a. A and B b. Only A c. Only B d. Neither A nor B

2. Consider a 2.4 m long propeller that operated at a constant 350 rpm. Find the acceleration of a particle at the tip of the propeller.

2. A football is kicked at an angle 37.0° above the horizontal with a velocity of 20.0 m/s, as Calculate (a) the maximum height, (b) the time of travel before the football hits the ground, and (c) how far away it hits the ground. Assume the ball leaves the foot at ground level, and ignore air resistance, wind, and rotation of the ball.