Question

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.

Answer 1

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