Question

A particle is moving along the curve y=2sqrt(4x+9). As the particle passes through the point (4,10), its x-coordinate increases at a rate of 4 units per second. Find the rate of change of the distance from the particle to the origin at this instant.

Answer 1

\[y'(t)=\frac{4}{\sqrt{4x+9}}x'(t)\] replace x by 4 and also x' by 4 to get your answer to get your answer

Answer 2

i got 16/5 but that answer was wrong