Question

A train is moving with a velocity of 100 km/hr in North-East direction .If another train is moving with a velocity of 50 km/hr in the North-West direction ,then what is the relative velocity of the second train with respect to the first train ?

Answer 1

Explanation:

let train A travel +ve NE direction

B travel - ve NW direction

Vba = Vb - Va = (-50) - 100 = -150 km/hr

Answer 2

Given that,

Velocity of train= 100 km/hr

Velocity of another train = 50 Km/hr

We need to calculate the relative velocity of second train with respect to the first train

Using formula of relative velocity

$V_{AB}=\sqrt{(OA)^2+(OB)^2}$

Put the value into the formula

$V_{AB}=\sqrt{100^2+50^2}$

$V_{AB}=111.80\ km/h$

Hence, The relative velocity of second train with respect to the first train is 111.80 km/hr.