Question

A particle describes a plane curve with constant speed and its acceleration is constant. Prove that path is a circle.(Motion along a plane curve with tangential and normal acceleration with intrinsic equations)​

Answer 1

Answer:

. As the particle moves from

to

. The velocty turns through an angle

. Then, <br>

<br>

<br> b. The time of motion is

. Then, average acceleration is

. <br> Substituting

and

, we have