A body is thrown vertically upwards from the top A of tower. It reaches the ground in $$t1$$ s. If it is thrown vertically downwards from A with the same speed it reaches the ground in $$t2$$ s. If it is allowed to fall freely from A, then the time it takes to reach the ground is given by

Question

A body is thrown vertically upwards from the top A of tower. It reaches the ground in $$t1$$ s. If it is thrown vertically downwards from A with the same speed it reaches the ground in $$t2$$ s. If it is allowed to fall freely from A, then the time it takes to reach the ground is given by

Infinity Learn · Accepted Answer

Taking downward direction as the positive direction,$$+h=-ur1+12gr12---(i)$$ $$+h=mt2+12gt22$$ $$---(ii)Multiplying$$ Eq. (i) by $$t2$$ and Eq. (ii) by $$t1$$ and adding, we $$getht1+t2=12gt1t2t1+t2ofh=12gt1t2For$$ free fall from rest, $$h=12gt2t2=t1t2$$ $$t=t1t2$$

A body is thrown vertically upwards from the top A of tower. It reaches the ground in $t_{1} s$ . If it is thrown vertically downwards from A with the same speed it reaches the ground in $t_{2} s$ . If it is allowed to fall freely from $A$ , then the time it takes to reach the ground is given by

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A body is thrown vertically upwards from the top A of tower. It reaches the ground in t1 s. If it is thrown vertically downwards from A with the same speed it reaches the ground in t2 s. If it is allowed to fall freely from A, then the time it takes to reach the ground is given by

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Ready to Test Your Skills?

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A body is thrown vertically upwards from the top A of tower. It reaches the ground in $t_{1} s$ . If it is thrown vertically downwards from A with the same speed it reaches the ground in $t_{2} s$ . If it is allowed to fall freely from $A$ , then the time it takes to reach the ground is given by