Kinematics Test...

Two cars P and Q starts from a point at the same time in a straight line and their positions are represents by x_P​(t) = at + bt² and x_Q​(t) = ft − t². At what time do the cars have the same velocity?

A particle shows distance − time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point.

A body starts at initial velocity v₀ in a straight line with acceleration as shown below in the graph.

Find the maximum velocity reached.

The relation between time and displacement of a moving particle is given by t = 2αx² where α is a constant. The shape of the graph x → y is ... 

A body is moving along a circular path of radius r What will be the displacement of the body when it completes half a revolution?

The area under acceleration-time graph represents the 

Resultant of two given vectors is maximum when angle between them is equal to

If the sum of two unit vectors is also a unit vector, then magnitude of their difference and angle between the two given unit vectors is

A particle is moving in a circle of radius R with constant speed. The time period of the particle is T Now after time t = (T/6). Average velocity of the particle is

The linear velocity of a body rotating at ω rad/s along a circular path of radius r is given by