In some appropriate units, time (\(t\)) and position (\(x\)) relation of a moving particle is given by \(t = x^2 + x\). The acceleration of the particle is
Frame of reference, motion in a straight line, speed and velocity
Every question from past board papers on Frame of reference, motion in a straight line, speed and velocity, newest paper first. Open any question for its full worked answer.
NEET UG 2025 question paper (official, booklet 45)
Full paper →NEET UG 2023 question paper (official, booklet G6)
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A vehicle travels half the distance with speed \(v\) and the remaining distance with speed \(2v\). Its average speed is:
NEET UG 2017 question paper (official, booklet B)
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The \(x\) and \(y\) coordinates of the particle at any time are \(x = 5t - 2t^2\) and \(y = 10t\) respectively, where \(x\) and \(y\) are in meters and t in seconds. The acceleration of the particle at t = 2s is :
NEET UG 2016 Phase 1 question paper (official, booklet A)
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If the velocity of a particle is \(v = At + Bt^2\), where A and B are constants, then the distance travelled by it between 1s and 2s is :
NEET UG 2016 Phase 2 question paper (official, booklet ZZ)
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Two cars \(P\) and \(Q\) start from a point at the same time in a straight line and their positions are represented by \(x_P(t)=at+bt^2\) and \(x_Q(t)=ft-t^2\). At what time do the cars have the same velocity?