Question

The ratio of speed to the magnitude of velocity when the body is moving in one direction is

Less than one
Greater than one
Equal to one
Greater than or equal to one​

Answer 1

Answer:

Speed is distance travelled per unit time.

So, Speed = Distance/Time

Velocity is displacement per unit time.

So, Velocity = Displacement/Time

Now, Distance is said to be the total path travelled by the body and Displacement is the shortest distance between the initial and the final position of the body.

That is, distance and displacement can either be equal or distance can be greater than displacement.

Here, as the body is moving in same direction, the distance will be equal to displacement.

Now, Ratio of Speed to the magnitude of velocity will be :

⇒ Speed:Velocity = Distance/Time:Displacement/Time

⇒ Speed:Velocity = Distance:Displacement

Now, the values of distance and displacement in this condition is equal,

⇒ Speed:Velocity = 1

Hence, The ratio of speed to the magnitude of velocity when the body is moving in one direction is equal to one.

Answer 2

Required Answer :-

It is moving in one direction. So, Distance = Displacement

Now

$\sf Speed:Velocity = \dfrac{Distance}{Time} \div \dfrac{Displacement}{Time}$

$\sf Speed:Velocity = \dfrac{Distance}{Time} \times \dfrac{Time}{Displacement}$

Cancel Time

$\sf Speed:Velocity = \dfrac{Distance}{Displacement}$

$\sf Speed:Velocity = \dfrac{1}{1}$

$\sf 1 = 1$

Option C is correct.