A particle moves along positive branch of the curve, `y = x/2, where x = t^3/3`, x and y are measured in meters and t in seconds, thenA. The velocity of particle at `t = 1 s is hati + 1/2 hatj`.B. The velocity of particle at `t = 1 s is 1/2 hati + hatj`.C. The acceleration of particle at ` t= 2 s is 2hati+hatj`.D. The acceleration of particle at ` t= 2 s is hati+ 2hatj`.

A particle moves along positive branch of the curve, `y = x/2, where x

1.	A particle moves along positive branch of the curve, `y = x/2, where x = t^3/3`, x and y are measured in meters and t in seconds, thenA. The velocity of particle at `t = 1 s is hati + 1/2 hatj`.B. The velocity of particle at `t = 1 s is 1/2 hati + hatj`.C. The acceleration of particle at ` t= 2 s is 2hati+hatj`.D. The acceleration of particle at ` t= 2 s is hati+ 2hatj`.
Answer» Correct Answer - A::C a,c. `(dx)/(dt) = t^2` ……………..(i) `y = 1/2 t^3/3 rArr (dy)/(dt) = t^2/2`…………..(ii) `t = 1, v_x = 1, v_y = 1/2 rArr vecv = hati + 1/2 hatj`. `(d^2x)/(dt^2)= 2t` ………(iii) `(d^2y)/(dt^2) = t` ……(iv) At t = 1 s, `a_x = 2 and a_y = 1` `rArr veca = 2hati + hatj`.

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