A particle moves so that its position vector is given by 
. Where, 
is
a constant. Which of the following is true? [NEET 2016]
A
Velocity and acceleration both are perpendicular to r.
B
Velocity and acceleration both are parallel to r.
C
Velocity is perpendicular to 
and acceleration is directed towards the origin.
and acceleration is directed towards the origin. D
Velocity is perpendicular to 
and acceleration is directed away from the origin.
and acceleration is directed away from the origin.
Text Solution
Verified by ExpertsThe correct answer is:
C
Given, position vector 
Velocity is given by 
Acceleration is given by 
If the dot product of two vectors is zero, that means the vectors are perpendicular to each other.
is perpendicular to r.
is anti-parallel to r or it indicates that acceleration is towards the origin.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The and coordinates of the particle at any time are and respectively where and are in metres …
In the given figure, represents the total acceleration of a particle moving in the clockwise direc…
If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, …
A particle moves so that its position vector is given by , where is a constant. Which of the fol…
If vectors and are functions of time,
then the value of at which they are orthogonal to each oth…
The position vector of a particle as a function of time is given by where is in meters, is in s…