You are required to build a pulley system to pull heavy storage boxes across a frictionless floor. The boxes must be pulled across the floor to the wall. The pulley is placed 15 feet high on the wall. You are able to pull the rope through the pulley at a rate of 3 ft/s. This means the hypotenuse is changing at a rate of 3 ft/s. Round your answers to three decimals. a.) How fast is the box moving across the floor when the box is 12 feet away from the wall? b.) At what rate is the angle between the rope and the floor changing at the same time?
You are required to build a pulley system to pull heavy storage boxes across a frictionless floor. The boxes must be pulled across the floor to the wall. The pulley is placed 15 feet high on the wall. You are able to pull the rope through the pulley at a rate of 3 ft/s. This means the hypotenuse is changing at a rate of 3 ft/s. Round your answers to three decimals. a.) How fast is the box moving across the floor when the box is 12 feet away from the wall? b.) At what rate is the angle between the rope and the floor changing at the same time?
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You are required to build a pulley system to pull heavy storage boxes across a frictionless
floor. The boxes must be pulled across the floor to the wall. The pulley is placed 15 feet high
on the wall. You are able to pull the rope through the pulley at a rate of 3 ft/s. This means
the hypotenuse is changing at a rate of 3 ft/s. Round your answers to three decimals.
a.) How fast is the box moving across the floor when the box is 12 feet away from the wall?
b.) At what rate is the angle between the rope and the floor changing at the same time?
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