The coordinates of a moving particle at any time t are given by x = αt^3 and y = βt^3 . The speed of the particle at time t is given by :

The coordinates of a moving particle at any time t are given by x = αt^3 and y = βt^3 . The speed of the particle at time t is given by :

The coordinates of a particle moving in a plane are given by x(t)= a cos (pt)and y(t)= b sin (pt) where a,b (< a)and p are positive constants of appropriate dimensions. Then,

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A particle is moving along the x-axis with its coordinate with time t given by x(t) = 10 + 8t - 3t^2. Another particle is moving along the y-axis with its coordinate as a function of time given by y = 5 - 8t^3 m. At t = 1 s, the speed of the second particle as measured in the frame of the first particle is given as √v . Then v (m/s) is