Final answer:
The student's physics question involves calculating the tension in an elevator cable during different phases of motion and determining the elevator's final position and velocity.
Step-by-step explanation:
The carrying capacity and speed of elevator cars are rated in terms of weight and velocity, respectively. However, the student's question pertains to a physics problem involving calculating the tension in a cable supporting an elevator and the elevator's final position and velocity after a series of maneuvers. When dealing with such problems, one must apply Newton's second law of motion and kinematic equations to determine the forces involved and the motion of the elevator.
For example, to calculate the tension in the cable during the elevator's upward acceleration, one must consider both the force of gravity (weight of the elevator) and the additional force required to accelerate the mass of the elevator. This tension can be found using the formula: T = ma + mg, where T is the tension, m is the mass of the elevator, and g is the acceleration due to gravity. During periods of constant velocity or deceleration, the tension in the cable will change accordingly, and similar principles apply to calculate it.