If a particle with `a = kv^(2)` and initial velocity is u then velocity after S displacement. Here `k` is a constant

[" The acceleration "a" of a particle moving with an initial velocity "u" varies "],[" with distance "x" as "a=k sqrt(x)" where "k" is a constant.The distance covered by "],[" the particle when its velocity becomes "3u" is given by "]

Velocity of a particle at time t=0 is 2 m//s. A constant acceleration of 2 m/s^2 acts on the particle for 2 s at an angle of 60^@ with its initial velocity. Find the magnitude of velocity and displacement of particle at the end of t=2s.

For a particle moving along straight line with constant acceleration (a), we define velocity of the particle with time as v=u+at , (u = initial velocity) Draw the velocity-time graph of the particle in following situations. (i) Velocity is decresing with time (i.e., acceleration in negative) (ii) Initial velocity is negative but acceleration is positive

A particle of mass 1 kg has a velocity of 2m//s . A constant force of 2N acts on the particle for 1s in a direction perpendicular to its initial velocity. Find the velocity and displacement of the particle at the end of 1 s.

A particle starts from rest and moves with constant acceleration. Then velocity displacement curve is:

A particle moves with an initial velocity v_(0) and retardation alphav, where alpha is a constant and v is the velocity at any time t. If the particle is at the origin at t=0 , find (a) (i) velocity as a function of time t. (ii) After how much time the particle stops? (iii) After how much time velocity decreases by 50% ? (b) (i) Velocity as a function of displacement s. (ii) The maximum distance covered by the particle. (c ) Displacement as a function of time t.

A force exerts an impulse Ion a particle changing its speed from initial velocity u to final velocity 2u . The applied force and the initial velocity are oppositely oriented along the same line. The work done by the force is

A particle moves with an initial velocity V_(0) and retardation alpha v , where alpha is a constant and v is the velocity at any time t. Velocity of particle at time is :

A constant force F is applied to a body of mass m moving with initial velocity u. If after the body undergoes a displacement S its velocity becomes v, then the total work done is