Question

A stone dropped from the top of a building strikes the ground in 4.2 s. How tall is the building?

Answer 1

Answer:

Height of the building is 180 meters.

Explanation:

During each second, the force of gravity will increase the downward velocity of the stone by approximately 10 m/s.

Therefore, after 6 seconds, the velocity will have gone from zero to 60 m/s.

During that time, the average velocity was 30 m/s.

(if you assume gravitational force remains constant regardless of distance from the center of the Earth, and ignore such things as air friction, wind, ablation, mass changes, radioactive decay, relativistic time-dilation, etc.)

is to simply take the average velocity (30 m/s) and multiply it by time:

   =   30 m/s  x  6 sec

   =   180 meters

   

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