To find the power of a force represented by the vector 2i + 5j moving from the point (2,5) to (4,7) in 3 seconds, the correct approach involves calculating the velocity as a vector and using the dot product of the force and velocity vectors. The magnitude of the force is calculated as sqrt(29), and the velocity is determined to be sqrt(8)/3. The initial power calculation yielded 5.077 watts, but further discussion clarified that the correct formula for power in vector terms is P = F·v = |F||v|cos(θ), where θ is the angle between the vectors. This correction led to a revised power value of 4.66 watts. Accurate vector analysis is essential for obtaining the correct power output.
