Speed of moving particle The coordinates of a particle moving in the metric xy-plane are differentiable functions of time t with dx/dt = 10 m/sec and dy/dt = 5 m/sec. How fast is the particle moving away from the origin as it passes through the point (3, -4)?

SOLUTION: Step 1 of 4: A particle moves in the plane. It is given that the coordinates and are differentiable functions of time. and . Find how fast is the particle moving away from the origin as it passes through the point . Step 2 of 4: Distance of the particle with coordinates from the origin is ...........................(1)