Question

The ratio of magnitude of average velocity to average speed​

Answer 1

Answer:

Av. Velocity / Av. Speed ≤ 1

Note:

★ The actually length of path travelled by a body is called distance.

★ The shortest distance between the initial point and the final point is called displacement.

★ Displacement is always less than or equal to distance.

Total Distance

covered

★ Average speed = ---------------------------

Total time taken

Net displacement

★ Average velocity = -----------------------------

Total time taken

★ Average velocity is always less than or equal to speed .

Solution:

We know that ,

Displacement ≤ Distance

Now,

Dividing both sides with Time , we get ;

Net Displacement Total Distance

=> ---------------------------- ≤ ----------------------

Time Taken Time Taken

=> Av. Velocity ≤ Av. Speed

=> Av. Velocity / Av. Speed ≤ 1

Hence,

The ratio of average velocity to average speed is always less than or equal to 1.