ï»¿ A particle Â moves so that its position vector is given by r = cosÂ Â whereÂ Â is a cosntant. which of the following is true? from Physics Motion in A Plane Class 11 Manipur Board

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A particle Â moves so that its position vector is given by r = cosÂ Â whereÂ Â is a cosntant. which of the following is true?

• velocity and acceleration both are parallel toÂ r

• velocity is perpendicular to r and acceleration is directed towards the origin

• velocity is perpendicular to r and acceleration is directed away from the origin

• velocity and acceleration both are perpendicular to r

B.

velocity is perpendicular to r and acceleration is directed towards the origin

Position vector of the article is given by,

whereÂ Â is a constant.
Velocity of the particle is,

The particle is at a point P. That is, its position vector is directed as shown below:

Therefore, acceleration is directed towards -r, that is towards "O"

We have

Â

Â  Â  Â  Â Â

Position vector of the article is given by,

whereÂ Â is a constant.
Velocity of the particle is,

The particle is at a point P. That is, its position vector is directed as shown below:

Therefore, acceleration is directed towards -r, that is towards "O"

We have

Â

Â  Â  Â  Â Â

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