A particle whose speed is 50 m/s moves along the line from A (2,1) to B (9,25). Find its velocity vector in the form of ai + bj.

To write it in the form ai + bj, we need to find a and b which are:

a = x component

b = y component

length of x = 9 - 2 = 7

length of y = 25 - 1 = 24

tan θ = 24 / 7

θ = 73.74°

a = (50 m/s) cos 73.74

a = 14 m/s

b = (50 m/s) sin 73.74

b = 48 m/s

Hence,

14i + 48j