An object moves along the x-axis according to the equation x(t)= 3t2 - 2t + 3 meters. Determine:
(a) The average velocity between t= 2 s and t= 3 s. (b)
The instantaneous velocity at t= 3 s. (C) The
instantaneous acceleration at t= 3 s.

A75-hp (shaft output) motor that has an efficiency of 91.0 percent is worn out and is to be replaced by a high-efficiency motor that has an efficiency of 95.4 percent. the motor operates 4368 hours a year at a load factor of 0.75. taking the cost of electricity to be $0.12/kwh, determine the amount of energy and money saved as a result of installing the high-efficiency motor instead of the standard motor. also, determine the simple payback period if the pu