The displacement-time graph of a particle is parallel to time-axis, what is the velocity of the particle?

Is it possible that x-t graph could have negative slope?

With zero speed a particle may have non-zero velocity. Is the statement true or false, explain?

Is itpossible that a body could have constant speed but varying velocity?

Is it possible that a body have a constant velocity but varying speed?

When a body accelerates by \( \beta\) t, what is the velocity after time t, when it starts from rest ?

For what condiion, an object could be considered as a point object? Describe in brief

Thye position x of a body is given by x = A sin(wt). Find the time at which the displacements is maximum.

the velocity of a particle is gievn by equation  v = 4 + 2( C₁ + C₂t ) where , C₁ and C₂ are constant .Find the intial velocity and acceleration of the particle.

A car starting from rest, accelerates at the rate f through a distance s, then continues at constant speed for somtimes t and then decelerate at the rate f/2 to come to rest.If the total distance is 5s, then prove that s = \(\frac { 1 }{ 2 } \) ft².

To what height does the ball rise and after how long does the ball return to the player's hands?(Take g = 9.8ms^-2 and neglect air resistance)

A body is moving in a straight line along x-axis Its distance from the origin is given by the equation x = at² - bt³, where x is in metre and t is in second. Find
(i) The avearge speed of the body in the interval t = 0 and t = 2 and
(ii) Its instantaneous speed at t =2s

Uniform Acceleration
The displacement x of a particle varies with time t as \(x={ 4t }^{ 2 }-15t+25\)
Can we call the motion of the particle as one with uniform acceleration?

Two parallel rail tracks run North-South.Train A moves North with a speed of 54 kmh^-1. and train B moves South with a speed of 90 kmh^-1 . What is the velocity of monkey on the roof of the train A against its motion (with a velocity of 18 kmh^-1 with respect to train A) as observed by a man standing on the ground?