Question

While a car travels around a circular track at a constant speed, its Acceleration is zero. Velocity is zero. Inertia is zero.

Answer 1

Answer: None of the options

Step-by-step explanation:

When we talk about uniform circular motion (constant speed) we yet have a changing velocity and therefore, acceleration.

How is this possible?

Well, velocity is a vector, and as a vector it has magnitude (the speed) and direction. So, while an object performs a uniform circular motion, althought its speed is not changing, its direction does change.

And, since acceleration
`a` is the variation of velocity
`V` in time
`t`, certainly there is acceleration here.

`a=(\Delta V)/(\Delta t)`

On the other hand, Inertia
`I` is mathematically expressed as:

`I=mr^(2)`

This means that for a system with a given axis of rotation and a given total mass
`m`, the greater the distance from the axis
`r` to the object that performs the circular motion, the greater the inertia.

This also means that inertia depends directly on the mass of the system and the radius of the circular motion, therefore, as long as these elements exist, in a circular motion the inertia will always be different from zero.