A stone dropped from a balloon which is at a height ℎ, reaches the ground after 𝑡 second. From the same balloon, if two stones are thrown, one upwards and the other downwards, with the same velocity 𝑢 and they reach the ground after 𝑡1and 𝑡2 second respectively, then

Question : A stone dropped from a balloon which is at a height ℎ, reaches the ground after 𝑡 second. From the same balloon, if two stones are thrown, one upwards and the other downwards, with the same velocity 𝑢 and they reach the ground after 𝑡1and 𝑡2 second respectively, then

(A) t=t_{1}-t_{2}

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

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

(D) t=\sqrt{t_{1}^{2}-t_{2}^{2}}

Answer : option (C)

Solution :

A stone dropped from a balloon which is at a height ℎ, reaches the ground after 𝑡 second. From the same balloon, if two stones are thrown, one upwards and the other downwards, with the same velocity 𝑢 and they reach the ground after 𝑡1and 𝑡2 second respectively, then

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