Question

A particle moves along the curve. Find the points on the curve at which the y-coordinate is changing 8 times as fast as the x-coordinate.

Answer 1

The equation of the curve is given as:

The rate of change of the position of the particle with respect to time (t) is given by,

When the y-coordinate of the particle changes 8 times as fast as the

x-coordinate i.e.,, we have:

When.

When.

Hence, the points required on the curve are (4, 11) and