An automated inspection carriage of mass 25 kg moves along a horizontal rail. Its velocity increases from 0.80 m s−10.80\ \mathrm{m\,s^{-1}}0.80 ms−1 to 2.8 m s−12.8\ \mathrm{m\,s^{-1}}2.8 ms−1 in 5.0 s. A constant resistive force of 6.0 N acts opposite to the direction of motion.
Calculate the force exerted on the carriage by its motor.