From the top of a tower, a ball is thrown vertically upward which reaches the ground in 6 s. A second ball thrown vertically downward from the same…

Question

From the top of a tower, a ball is thrown vertically upward which reaches the ground in 6 s. A second ball thrown vertically downward from the same position with the same speed reaches the ground in 1.5 s. A third ball released, from the rest from the same location, will reach the ground in _____ s.

MARKS Content Team · Accepted Answer

Correct answer: 3. When it is thrown upward, -h=v×6-1/2g6^2 When it is thrown downward, -h=-v×1.5-1/2g1.5^2 Therefore, 5h=536+9 h=45 m When the ball is dropped, h=1/2gt^2⇒45=1/2×10×t^2⇒t=3 s Alternate method, t=√t_1t_2=√(6×1.5)=3 s

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