At time seconds after takeoff, Robot X is moving east so that its horizontal position…
MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives
Problem
At time t seconds after takeoff, Robot X is moving east so that its horizontal position (in meters) satisfies x(t)=4t2. Simultaneously, Robot Y is moving north so that its position satisfies y(t)=60−2t2. Find the instantaneous rate of change, in meters per second, of the straight-line distance between the two robots when t=3.