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For a particle moving along a straight line, its position (x) is given by x = (t – sint), where t is time. The ratio of maximum speed to its speed at  is
Asked by vanshikaagarwal777 | 31 Mar, 2020, 16:01: PM
answered-by-expert Expert Answer
position x(t) = t - sin(t)
 
speed v(t) = dx(t)/dt = 1 - cos(t)
 
speed will be maximum when t = n π , where n = 1, 3, 5,  etc
 
maximum speed vmax = 1 - (-1) = 2
 
speed at t = π/2 ,  v = 1 - 0 = 1 
 
ratio of speed at t = π/2 to maximum speed = 1/2
Answered by Thiyagarajan K | 31 Mar, 2020, 17:44: PM

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