List of top Physics Questions on Motion in a Straight Line

The velocity-time graph of an object moving along a straight line is shown in the figure. What is the distance covered by the object between \( t = 0 \) to \( t = 4s \)?
velocity-time graph of an object moving along a straight line
A car runs at a constant speed on a circular track of radius 100 m, taking 62.8 s for every circular lap. The average velocity and average speed for each circular lap respectively is :

A particle moves along a straight line OX. At a time t (in seconds) the distance x (in metres) of the particle from O is given by x = 40 + 12t - t3 How long would the particle travel before coming to rest ?

Two bodies, A (of mass 1 kg) and B (of mass 3 kg) are dropped from heights of 16 m and 25 m, respectively. The ratio of the time taken by them to reach the ground is

The displacement x of a particle varies with time t as \(x=ae^{-  \alpha t} + be ^{\beta t}\), where \(a,b,\) \(\alpha\) and \(\beta\) are positive constants. The velocity of the particle will:

A ball is thrown vertically upward. It has a speed of 10m/s when it has reached one half of its maximum height. How high does the ball rise?(Taking g=10 m/s2)
The acceleration due to gravity on the planet A is 9 times the acceleration due to gravity on planet B. A man jumps to a height of 2m on the surface of A. What is the height of jump by the same person on the planet B.
A particle is thrown vertically upward. Its velocity at half of the height is 10 m/s. Then the maximum height attained by it (g = 10 m/s^2 )
A man is slipping on a frictionless inclined plane & a bag falls down from the same height. Then the speed of both is related as:

Motion of a particle is given by equation \(S=(3t^3+7t^2+14t+8)\ m\), The value of acceleration of the particle at \(t=1 \ sec\) is: