Question

a motor car a is travelling with a velocity of 20m/s in north - west direction and another motor car is travelling with velocity of 15m/s in north - east direction . The magnitude of relative velocity of B with respect to a is​

Answer 1

Answer:

35 m/s

Explanation:

Given:

Motor car A is traveling with velocity 20 m/s in north - west direction.

Motor car B is traveling with velocity 15 m/s in north - east direction.

To find:

Magnitude of relative velocity of B w.r.to A = ?

Solution:

First of all, let us learn about definition of Relative Velocity.

Relative velocity of a body P w.r.to body Q is the velocity that would appear to the observer on the body.

OR

Relative velocity is the vector difference of the two velocity vectors.

As per given statement:

$V_A = 20\ m/s$

Car B is moving in a direct just opposite to that of car A.

So, $V_B$ will be negative.

$\therefore V_B=-15\ m/s$

As per the formula of Relative Velocity of B w.r.to A:

$V_{BA} = V_B -V_A$

$\Rightarrow V_{BA} = -15-20 = -35\ m/s$

Magnitude of Relative velocity of B w.r.to A = 35 m/s