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NEET UG PHYSICS MCQ: MOTION IN A STRAIGHT LINE

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Application +4 | -1
The co-ordinates of a moving particle any time “tt” are given by x=αt3  &  y=βt3.x = \alpha {t^3}\,\,\& \,\,y = \beta {t^3}. The speed of the particle at time t=2  sec⁡t = 2\,\,\sec
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Correct option: C
12α2+β212\sqrt {{\alpha ^2} + {\beta ^2}}
Option C (12α2+β212\sqrt {{\alpha ^2} + {\beta ^2}}) is correct because it represents the magnitude of the velocity vector at t=2s, calculated from the derivatives of x and y with respect to time.

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