A particle is moving in the xy-plane such that its O y x position after time t seconds relative to a fixed origin O is given by the parametric equations 

The diagram shows the path of the particle.

a. Find the distance from the origin to the particle at time t = 0.5.

b. Find the coordinates of the points where the particle crosses the y-axis. Another particle travels in the same plane with its path given by the equation y = 2x + 10.

c. Show that the paths of these two particles never intersect

Transcribed Image Text:

_²2²-31 +2 t X= y = 2t, t> 0