# A stone dropped from a building of height ℎ and it reaches after 𝑡 seconds on earth. From the same building if two stones are thrown (one upwards and other downwards) with the same velocity 𝑢 and they reach the earth surface after 𝑡1 and 𝑡2 seconds respectively, then

Question : A stone dropped from a building of height ℎ and it reaches after 𝑡 seconds on earth. From the same building if two stones are thrown (one upwards and other downwards) with the same velocity 𝑢 and they reach the earth surface after 𝑡1 and 𝑡2 seconds respectively, then

(A) 𝑡 = 𝑡1 − 𝑡2

(B) $t=\dfrac{t_{1}+t_{2}}{2}$

(C) $t=\sqrt{t_{1}t_{2}}$

(D) $t=t_{1}^{2}t_{2}^{2}$

Answer : option (C)

Solution :

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