COMEDK · Physics · 5. Laws of Motion
The motion of a particle of mass \(m\) is described by \(y=u t+g t^{2}\). The force acting on the particle will be
- A zero
- B \(4 \mathrm{mg}\)
- C \(3 \mathrm{mg}\)
- D \(2 \mathrm{mg}\)
Answer & Solution
Correct Answer
(D) \(2 \mathrm{mg}\)
Step-by-step Solution
Detailed explanation
The displacement of the particle is given by \(y = ut + gt^2\). The velocity \(v\) is the first derivative of displacement with respect to time \(t\): \(v = \dfrac{dy}{dt} = \dfrac{d}{dt}(ut + gt^2) = u + 2gt\). The acceleration \(a\) is the derivative of velocity with respect…
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