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A cat drops from a shelf 4.2 ft above the floor and lands on all four...

Question

A cat drops from a shelf 4.2 ft above the floor and lands on all four...

A cat drops from a shelf 4.2 ft above the floor and lands on all four feet. His legs bring him to a stop in a distance of 12 cm.

Calculate his speed when he first touches the floor (ignore air resistance). Express your answer in SI units.

Calculate how long it takes him to stop.

Calculate his acceleration (assumed constant) while he is stopping. Express your answer in SI units.

Calculate his acceleration (assumed constant) while he is stopping, in g’s.

Answers

a) vfA2-v042+2ad vf^2-0+2gh or vf= sqrt[2gh]= sqrt[2*9.8m/s 2*4.2 * 0.3048] m/s 5.008 b) once he hits the floor, his speed goes from 5.008 m/s to 0, meaning the avg velocity is 2.504 m/s therefore time dist/avg speed 0.12m/2.504 m/s 0.0479 s c) accel 5.008/0.0479 104.55 m/ SA2 d) accel 104.55/9.8 11.66 g


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