Little Timmy wants to measure how tall his house is. He doesn't have a tape measure but does have a stopwatch. He recruits Big Bob to climb on his roof and drop a rock. He times the rocks fall and finds it to be 1.67 s. How tall is his house?

Question

Physics

Guest

21 May, 22:06

Little Timmy wants to measure how tall his house is. He doesn't have a tape measure but does have a stopwatch. He recruits Big Bob to climb on his roof and drop a rock. He times the rocks fall and finds it to be 1.67 s. How tall is his house?

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Stephen Goodwin · Answer 1

The distance covered by an object accelerating from rest is

D = (1/2) · (acceleration) · (time) ².

In this particular case, 'acceleration' is 9.8 m/s² ... due to gravity.

D = (1/2) · (9.8 m/s²) · (1.67 s) ²

D = (4.9 m/s²) · (2.789 s²)

D = 13.67 meters