Rate of Change of Distance
A point moves along the curve y=x^2+1. If the rate at which the point's distance from the origin changes is given below in units per second, which of the following scenarios is possible?
AThe x-coordinate is increasing at a rate of 3 units per second, and the given rate occurs at the point (2, 4).
BThe x-coordinate is increasing at a rate of 3 units per second, and the given rate occurs at the point (1, 2).
CThe x-coordinate is increasing at a rate of 1.5 units per second, and the given rate occurs at the point (1, 2).
DThe x-coordinate is increasing at a rate of 1.5 units per second, and the given rate occurs at the point (2, 5).