Question
Part A) Use the definition of linear speed to solve one of the four problems below. Show your work. Suppose that an object moves on
Part A) Use the definition of linear speed to solve one of the four problems below. Show your work. Suppose that an object moves on a circle of radius r at a constant speed. If s is the distance traveled in time t on this circle, then the linear speed v of the object is defined as v=st .
1) An object is traveling around a circle with a radius of 7 feet. If in 40 seconds a central angle of 1/5 radian is swept out, what is the linear speed of the object?
2) An object travels a distance of 40 inches in 2.5 seconds as it moves along a circle of radius 2 ft. Find its linear speed over one minute.
3) A motorcycle travels at a constant speed around a track that is circular and has a circumference of 5 miles. If the motorcycle completes 5 laps in 12 minutes, what is the linear speed of the motorcycle in miles per hour?
4) A race car travels at a constant speed around a track that is circular and has a circumference of 4.4 miles. If the race car completes 7 laps in 10 minutes, what is the linear speed of the car in miles per hour?
Part B Create your own linear speed application problem for your classmates to solve.
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