Three particle start from the origin at the same time, one with a velocity v0 = 1 ms-1 along X-axis. Second with v2 = 2 ms-1 along Y-axis and third along x = y line. Find the velocity of third particle, so that they are always on a straight line.

Q: Three particle start from the origin at the same time, one with a velocity v₀ = 1 ms-1 along X-axis. Second with v₂ = 2 ms-1 along Y-axis and third along x = y line. Find the velocity of third particle, so that they are always on a straight line.

(a) 2 ms^-1

(b) 2√2 ms^-1

(c) (2√2)/3 ms^-1

(d) 3√2 ms^-1

Ans: (c)