Question Video: Calculating the Relative Velocity of a Particle with Respect to Another Particle

If 𝐕_(π‘Žπ‘) =20𝐒 and 𝐕_(π‘Ž) = 45𝐒, then 𝐕_(𝑏) = _𝐒.


Video Transcript

If 𝐕 sub π‘Žπ‘ is equal to 20𝐒 and 𝐕 sub π‘Ž equals 45𝐒, then 𝐕 sub 𝑏 is equal to what 𝐒.

In this question, we are given the relative velocity of π‘Ž with respect to 𝑏 in terms of the unit vector 𝐒. We are also given the velocity of π‘Ž in terms of the unit vector 𝐒. And we need to calculate the velocity vector 𝑏.

We recall that the velocity of π‘Ž relative to 𝑏 is the velocity of π‘Ž minus the velocity of 𝑏 for two bodies π‘Ž and 𝑏 moving along the same one-dimensional axis. Substituting in the values we are given, we have 20𝐒 is equal to 45𝐒 minus the velocity of 𝑏. By adding the velocity of 𝑏 and subtracting 20𝐒 from both sides of our equation, we have the velocity of 𝑏 is equal to 45𝐒 minus 20𝐒. This is equal to 25𝐒. The missing number in the question is 25.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.