Question

A car moves 30 mi/h to the north. Every second, the velocity increases by 3 mi/h. Which option represents the acceleration as a vector quantity?

30 mi/h north

30 mi/h

3 mi/h/s

3 mi/h/s north

Answer 1

Step-by-step explanation:

It is given that, a car moves 30 mi/h to the north. Every second, the velocity increases by 3 mi/h. We know that the rate of change of velocity is called the acceleration of an object.

Here, the velocity increases at the rate of 3 mi/h. It shows the rate of change of velocity i.e. acceleration.

Since,
`a=(dv)/(dt)`

`a=(3\ mi/h)/(s)`

a = 3 mi/h/s

The direction of acceleration is as same as velocity i.e. in north direction. So, the correct option is (d) " 3 mi/h/s north ".

Answer 2

Answer;

30 mi/h to the north

Explanation;

• A vector quantity is a quantity that has both magnitude and direction.
• These quantities are full described by both magnitude and direction. For example, displacement, velocity, and acceleration.
• In this case, acceleration of 30 mi/h to the north; indicates that the acceleration has a magnitude of 30 units and the direction is towards north.