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qUESTIONS

A particle located at x = 0 at time t = 0 starts moving along the positive x-direction with a velocity ‘ v’ that varies asv = a√x The displacement of the particle varies with time as

An object moving with a speed of 6.25 m/s, is decelerated at a rate given by dv/dt= -2.5√v where v is the instantaneous speed. The time taken by the object, to come to rest, would bewhere u is the instantaneous speed. The time taken by the object, to come to rest, would be

The relation between time and distance is t = ax² + ẞx where a and ẞ are constants. The retardation is

The velocity of a particle is v = v0 + gt + ft2 If its position is x = 0 at t = 0 then its displacement after unit time (t = 1) is

Two stones are thrown up simultaneously from the edge of a cliff 240m high with initial speed of 10 m/s and 40 m/s respectively. Which of the following graph best represents the time variation of relative position of the second stone with respect to the first (Assume stones do not rebound after hitting the ground and neglect air resistance, take g = 10m/s²) . (The figures are schematic and not drawn to scale)

The given graph shows the variation of velocity with displacement. Which one of the graph given below correctly represents the variation of acceleration with is displacement?

A body is a rest at x = 0 At 10, it starts moving in the positive x-direction with a constant acceleration. At the same instant another body passes through x = 0 moving in the positive x-direction with a constant speed. The position of the first body is given by x1(t) after time and that of the second body by x2(t) after the same time interval. Which of the following graphs correctly describes (x1- x2) as a function of time

Two balls A and B of same masses are thrown from the top of the building. A, thrown upward with velocity V and B, thrown downward with velocity V, then

A ball is released from the top of a tower of height h meters. It takes T seconds to reach the ground. What is the position of the ball in 7/3 seconds?

A particle starts from origin at time t = 0 and moves along the positive x-axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time t = 5s

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