Two Carts, a and B, Are Connected by a Rope

question 136

Short Answer

Two carts, A and B, are connected by a rope 39 ft long that passes over a pulley (see the figure below). The point Q is on the floor 12 ft directly beneath and between the carts. Cart A is being pulled away from Q at a speed of 2 ft/s. How fast is cart B moving toward Q at the instant when cart A is 5 ft from Q?

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Definitions:

Sleep Disturbance

Disruptions in the normal sleep cycle, which can include difficulties in falling asleep, staying asleep, or experiencing restful sleep.

Depression

An emotional state marked especially by sadness, inactivity, difficulty in thinking and concentration, a significant increase or decrease in appetite and time spent sleeping, feelings of dejection and hopelessness, and sometimes suicidal tendencies.

Suicide Risk

The possibility that an individual will attempt to take their own life or engage in self-harmful behaviors, often assessed through various psychological evaluations.

Alcohol Dependency

A medical condition characterized by a compulsive need to consume alcohol despite adverse effects on health and life.