Kinematics Test...

A body is moving in a straight line as shown in velocity-time graph. The displacement and distance travelled by body in 8 second are respectively:

Among the four graphs, there is only one graph for which average velocity over the time interval (0, T) can vanish for a suitably chosen T. Which one is it?

A graph of x versus t is shown in figure. Choose incorrect statements from below.

The displacement of particle is given by 

What is its acceleration ?

An object moving with a speed of 6.25 m/s, is deaccelerated at a rate given by , where v is the instantaneous speed. The time taken by the
object, to come to rest would be

The displacement x of a particle varies with time t as x = ae^−αt + be^βt, Where a, b, α and β are positive constants. The velocity of the particle will:

A particle has initial velocity (3i+4j) and acceleration (0.1i + 0.3 j). Its speed after 10 s is

A body is moving with velocity 30 m/s towards East. After 10 s its velocity becomes 40 m/s towards North. The average acceleration of body is

A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to v(x) = Bx^-2n where, ẞ and n are constants and x is the position of the particle. The acceleration of the particle as a function of x, is given by