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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

Respuesta :

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.

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, [tex]a=\dfrac{dv}{dt}[/tex]

[tex]a=\dfrac{3\ mi/h}{s}[/tex]

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 ".

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