Motion In A Straight Line - Mechanics - Physics Previous Year Questions

The given graph shows the variation of velocity \(v\) with position \(x\) for a particle moving along a straight line

Which of the following graph shows the variation of acceleration a with position x?

At a metro station, a girl walks up a stationary escalator in \(20 \mathrm{~s}\). If she remains stationary on the escalator, then the escalator take her up in \(30 \mathrm{~s}\). The time taken by her to walk up on the moving escalator will be

For a body moving along a straight line, the following \(v\)-\(t\) graph is obtained.

According to the graph, the displacement during

A particle starts from rest. Its acceleration \(a\) versus time \(t\) is shown in the figure. The maximum speed of the particle will be

The displacement \(x\) (in \(\mathrm{m}\)) of a particle of mass \(m\) (in \(\mathrm{kg}\)) moving in one dimension under the action of a force, is related to time \(t\) (in sec) by \(t=\sqrt{x}+3\). The displacement of the particle when its velocity is zero, will be

A body is moving along a straight line with initial velocity \(v_0\). Its acceleration \(a\) is constant. After \(t\) seconds, its velocity becomes \(v\). The average velocity of the body over the given time interval is