A particle is moving in x- y plane as shown.The rate of change of speed at point P is `2m/sec` find the acceleration `a_(y)` along `y` -axis `v_(y)=4m/sec`,

A particle is moving in the x-y plane. At certain instant of time, the components of its velocity and acceleration are as follows: v_(x)=3ms^(-1), v_(y)=4ms^(-1), a_(x)=2ms^(-2) and a_(y)=1ms^(-2) . The rate of change of speed at this moment is

A particle is moving in X-Y plane that x=2t and y=5sin(2t). Then maximum speed of particle is:

A particle is moving in xy-plane .At certain instant the components of its velocity and acceleration are as follows u_(x) = 3m//s,u_(y)=4m//s,a_(x)=2m//s^(2)"and"a_(y)=1m//^(2). The rate of change of speed at this moment is (a) 4.m//s^(2) (b) 2,m//s^(2) (c) sqrt3.m//s^(2) (d) sqrt5 .m//s^(2)

A particle is moving in x-y plane with y=x/2 and V_(x)=4-2t . The displacement versus time graph of the particle would be

A particle moves in x-y plane according to equations x = 4t^(2)+5t and 6y=5t The acceleration of the particle must be

The speed of a particle moving in a circle slows down at a rate of 3 m//sec^(2) . At some instant the magnitude of the total acceleration is 5 m/sec^(2) and the particle's speed is 12 m/sec. The radius of circle will be :

A particle is moving in x–y plane. The x and y components of its acceleration change with time according to the graphs given in figure. At time t = 0 , its velocity is v_(0) directed along positive y direction. if a_(0) = (v_(0))/(t_(0)) , find the angle that the velocity of the particle makes with x axis at time t = 4t_(0) .

Path of a particle moving in x-y plane is y=3x+4 . At some instant suppose x - component of velocity is 1m//s and it is increasing at a constant rate of 1m//s^(2) . Then at this instant.

Velocity of particle moving along x-axis is given as v = ( x^(3) - x^(2) + 2) m // sec. Find the acceleration of particle at x=2 meter.

A particle moves with a uniform speed of 2m/s in x-y plane according to the equation y=4x^(2) , where x and y are in metre. The acceleration of the particle along y -axis while passing through the origin has magnitude?