Question

A train is travelling due North with a speed of 72 km/h. Find the velocity of the train
w.r.t. a car travelling East with a speed of 54 km/h.​

Answer 1

Answer:

Explanation:

V of train wrt car is

72-54=18Km/hr

NB:do conversion if asked

Answer 2

The velocity of the train traveling north with respect to the car travelling East is 90km/h.

Given,

Speed of the train traveling north, v1=72km/h

Speed of the car traveling east, v2=54km/h.

To find,

the velocity of the train traveling north with respect to the car travelling East.

Solution:

Speed of the train traveling north in vector form, v1=72 j(cap) km/h

Speed of the car traveling east, v2=54 i(cap) km/h.

v12=v1-v2

v12=72j-54i

Magnitude of velocity=speed

Magnitude of velocity, v12=√(72)^2+(54)^2

v12=√5184+2916

v12=√8100

v12=90km/h.

Thus, the velocity of the train traveling north with respect to the car travelling East is 90km/h.

#SPJ2