Question

Suppose a mouse runs in a circle of radius 10ft with a constantspeed 6ft/sec. A...

Suppose a mouse runs in a circle of radius 10ft with a constant speed 6ft/sec. A cat chases the mouse starting at the center of the circle and also moves at a constant speed 6ft/sec such that it is always between the center of the circle and the mouse. How long will it take for the cat to reach the running mouse?

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Answer #1

Given that

The radius of the circle is (r) =10ft =3.048m

A cat chases the mouse starting at the center of the circle and also moves at a constant speed(v) = 6ft/sec =1.8288m/s

We know that 1 ft = 0.3048 m

Therefore the time taken for the cat to reach the running mouse is given by

Velocity =distance /time

Time taken is given by (t) =distance /velocity =3.048m/1.8288m/s =1.667s

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