Use the ideas presented in the text together with your own experience and imagin

Question

Use the ideas presented in the text together with your own experience and imagination to analyze the following questions. Write neatly, and use proper grammar and spelling. Refer to the Homework Guidelines for proper format for your solutions, what you will be graded on, and tips for solving problem 1 Putt Putt Golf A golfer takes three strokes to get his ball in the hole after landing on the green. The first shot moves the ball 12 ft due north, the seoond 8.5 ft southeast, and the third 3.0 ft due west What shot would have allowed the golfer to sink the putt in a single attempt? Give both the distance and direction 2 The Helix A particle moves in a belix. In one coordinate system, its position as a function of time is given by cosut ot R. f, and v are constants: Value 0.0 em 1.0 cm/s Constant Quantity radius angular frequency 10.0- velocity Answer the following questions about the trajectory of the particle, You may report cither a numerical or a symbolic answer, or both (a) Find the distance of the particle from the origin, r(t), as a function of time (b) Find the velocity t) of the particle as a function of time. (c) Find the speed (t) of the particle as a function of time (d) Find the acceeration a(t) of the particle as a function of time. )Find the magnitude of the particle's acceleration a(t) as a function of time.

Explanation / Answer

1)

Given,

d1 = 12 ft due north ; d2 = 8.5 ft south east; d3 = 3 ft due west

the components of the displacement will be:

d1 = 0,12 ft

d2 = 8.5 cos-45,8.5 sin-45 = 6.01,-6.01

d3 = (-3,0)

d1 + d2 + d3 = [(0 + 6.01 - 3), (12 -6.01 + 0) = 3.01, 5.99

So the length of the resultant will be:

R = sqrt (3.01^2 + 5.99^2) = 6.70 ft

theta = tan^-1(5.99/3.01) = 63.32 deg

Hence, R = 6.7 ft and theta = 63.32 deg

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