The relation between the velocity and the position of a particle is v=Ax+B , where A & B are constants. Acceleration of the particle is 10 when its velocity is a.How much is the acceleration when it's velocity is 2a?
3 Answers
Its the same,
Explanation:
As the velocity is a straight line, the acceleration will always be the same.
This can also be shown with calculus:
If
I cannot use
Velocity is a vector, therefore, I shall correct the given equation to be a vector equation:
Where
The acceleration vector must be the first derivative of the velocity vector with respect to time (t). Applying the chain rule:
We can compute
But
The relation between the velocity and the position of a particle is v=Ax+B , where A & B are constants. Acceleration of the particle is 10 when its velocity is a.How much is the acceleration when it's velocity is 2a?
No units were given