First slide

Release from certain height

Question

A stone is dropped from the top of a tower of height h. After 1 s another stone is dropped from the balcony 20 m below the top. Both reach the bottom simultaneously. What is the value of h ? Take g = 10 ms^-2.

Moderate

A

3125 m
B

312.5 m
C

31.25 m
D

25.31 m

Solution

$h = \frac{1}{2} g t^{2} and h - 20 = \frac{1}{2} g (t - 1)^{2}$
Solving them, we get t = 2.5 s and h = 31.25 m.

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