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hello i need help with the following questions please and thank you. ULL 5.) According to the Guiness Book of World Records, the longest home

hello i need help with the following questions please and thank you.

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ULL 5.) According to the Guiness Book of World Records, the longest home run ever measured was hit by Roy Carlyle in a minor league game. The ball traveled 188m before landing on the ground outside the ballpark. (a) Assuming the ball's initial velocity was 45 above the horizontal and ignoring air resistance, what did the initial speed of the ball need to be to produce such a home run if the ball was hit at a point 0.9m above ground level? Assume that the round was perfectly flat. (b) How far would the ball be above a fence 3.0m in height if the fence was 116m from home plate? 6.) A particle moves in the ry-plane. Its coordinates are given as functions of time by: r(t) = R(wt - sin wt) y(t) = R(1 - cos wt) where R and w are constants. (a) Use a computer program such as MS Excel to plot the trajectory of the particle. (This is the trajectory of a point on the rim of a wheel that is rolling at a constant speed on a horizontal surface. The curve traced out by such a point as it moves through space is called a cycloid.) (b) Determine the velocity components and the acceleration components of the particle at any time t. (c) At which times is the particle momentarily at rest? What are the coordinates of the particle at these times? What are the magnitude and direction of the acceleration at these times? (d) Does the magnitude of the acceleration depend on the time? Compare to uniform circular motion

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