The displacement (x) of a particle depends on time (t) as x= t^ 2 - t^ 3
Physics · JEE Advanced · NTA Exams — Kinematics
The displacement (x) of a particle depends on time (t) as \(x=\alpha t^{2}-\beta t^{3}\)
- The particle will return to its starting point after \(\frac{\alpha}{\beta}\)
- The particle will come to rest after time \(\frac{2 \alpha}{3 \beta}\)
- The initial velocity of the particle was zero but its initial acceleration was not zero
- No net force will act on the particle at \(t=\frac{\alpha}{3 \beta}\)
Answer
(A) The particle will return to its starting point after, (B) The particle will come to rest after time 2 3, (C) The initial velocity of the particle was zero but its initial acceleration was not zero, (D) No net force will act on the particle at t= 3
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