12-3. From approximately what floor of a building must a

Chapter 12, Problem 12-3

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QUESTION:

12-3. From approximately what floor of a building must a car be dropped from an at-rest position so that it reaches a speed of 80.7 ft/s (55 mi/h) when it hits the ground? Each floor is 12 ft higher than the one below it. (Note: You may want to remember this when traveling 55 mi/h.)

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QUESTION:

12-3. From approximately what floor of a building must a car be dropped from an at-rest position so that it reaches a speed of 80.7 ft/s (55 mi/h) when it hits the ground? Each floor is 12 ft higher than the one below it. (Note: You may want to remember this when traveling 55 mi/h.)

ANSWER:

Step 1 of 3

From Newton’s laws of motion,we know that:

Where  is the final velocity of the car and is given as

 is the initial velocity and is given as

 is the displacement of the car,

And acceleration a will be acceleration due to gravity, which can be taken as

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