Three particles start from origin at the same time with a velocity along positive -axis

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Three particles start from origin at the same time with a velocity

2 \text{ ms}^{-1}

along positive

x

-axis, the second with a velocity

6 \text{ ms}^{-1}

along negative

y

-axis. Find the velocity of the third particle, moving along

x = y

line, so that the three particles may always lie in a straight line.