Motion in a Str...

The displacement of a body is given to be proportional to the cube of time elapsed. The magnitude of the acceleration of the body is

Match the Column I with Column II.

The slope of the tangent drawn on velocity-time graph at any instant of time is equal to the instantaneous

The area under acceleration-time graph gives

Which of the following statements is not correct regarding the motion of a particle in a straight line?

Match the column I with column II

A particle moving along a straight line has a velocity v m s⁻¹, when it cleared a distance of x m. These two are connected by the relation   When its velocity is 1 m s⁻¹, its acceleration is

A particle moves rectilinearly. its displacement x at time t is given by x² = t² + 1. Its acceleration at time t is proportional to

A car starts from rest, attains a velocity of 36 km h⁻¹ with an acceleration of 0.2 m s⁻², travels 9 km with this uniform velocity and then comes to halt with a uniform deceleration of 0.1 m s⁻². The total time of travel of the car is

A particle moving with uniform acceleration has average velocities v₁, v₂ and v₃ over the successive intervals of time t₁, t₂ and t₃ respectively. The value of  will be

A particle starts from point A moves along a straight line path with an acceleration given by a = p − qx, where p,q are constants and x is distance from point A. The particle stops at point B. The maximum velocity of the particle is

For the one dimensional motion, described by x = t - sint

Position-time graph for motion with zero acceleration is

The velocity-displacement graph of a particle is as shown in the figure. Which of the following graphs correctly represents the variation of acceleration with displacement?

The velocity-time graph of a particle in one-dimensional motion is shown in Fig.

Which of the following formula are correct for describing the motion of the particle over the time-interval t₁ to t₂.