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A particle mover along the parabolic path x=y^2 + 2y + 2 in such a way that the y-component of velocity vector remains 5 m/s during the motion.The magnitude of acceleration of the particle is-

```
11 years ago

```							Hi,

A = root{(Ax)^2 + (Ay)^2}

A= total acceleration

Ax = acceleration along x axis  = d^2x/dt^2
Ay  = acceleration along y axis  = d^2y/dt^2

here vel. in y directn =dy/dt = 5 m/s (constant) => Ay = 0

now differentiate the given eqn

=> Vx = 2y*dy/dt +2* dy/dt
= 2y*5  + 2 *5
Vx =  10y + 10

again diff.

Ax = 10 *dy/dt = 10* 5 = 50 m/s^2

A = root{(Ax)^2 + (Ay)^2} =>  A = Ax = 50   (as Ay=0 )

```
11 years ago
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