A particle moves along the parabolic path `x` = `y^2 `+`2y`+`2 ` in such a way that the y - component of velocity vector remain 5m/s during the motion.If the magnitude of the acceleration of the particle is `(k times25)` `m/s^2` then the value of 'k' is

A particle moves along the parabolic path x = y^2 + 2y + 2 in such a way that Y-component of velocity vector remains 5ms^(-1) during the motion. The magnitude of the acceleration of the particle is

A particle moves along a parabolic path y=-9x^(2) in such a way that the x component of velocity remains constant and has a value 1/3m//s . Find the instantaneous acceleration of the projectile (in m//s^(2) )

A particle moves along a parabolic parth y = 9x^(2) in such a way that the x-component of velocity remains constant and has a value 1/3 ms ^(-1) . The acceleration of the particle is -

A particle moves along a path y = ax^2 (where a is constant) in such a way that x-component of its velocity (u_x) remains constant. The acceleration of the particle is

A particle moves along the parabola y^2=2ax in such a way that its projection on y-axis has a constant velocity. Show that its projection on the x-axis moves with constant acceleration

A particle moves along the parabola y=x^(2) in the first quadrant in such a way that its x-coordinate (measured in metres) increases at a rate of 10 m/sec. If the angle of inclination theta of the line joining the particle to the origin change, when x = 3 m, at the rate of k rad/sec., then the value of k is

The velocity –position graph of a particle moving along a straight line is shown. Then acceleration of the particle at s = 15 m is :

A particle of mass m moves along a curve y=x^2 . When particle has x-coordinate as (1)/(2) m and x-component of velocity as 4(m)/(s) , then

A particle is moving in such a way that at one instant velocity vector of the particle is 3hati+4hatj m//s and acceleration vector is -25hati - 25hatj m//s ? The radius of curvature of the trajectory of the particle at that instant is

A particle of mass m movies along a curve y=x^(2) . When particle has x-co-ordinate as 1//2 and x-component of velocity as 4 m//s . Then :-