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Grade 12th passMechanics

A stone is released from the top of the tower. It covers 24.5m distance in the last second of its journey. What is the height of the tower

Profile image of Sana khan
7 Years agoGrade 12th pass
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1 Answer

Profile image of Khimraj
ApprovedApproved Tutor Answer7 Years ago
Height of the tower = H
Total time taken to reach the ground = T
H = 0.5gT^2 ——(1)
H - 24.5 = 0.5g * (T - 1)^2
0.5gT^2 - 24.5 = 0.5g * (T^2 + 1 - 2T)
0.5gT^2 - 24.5 = 0.5gT^2 + 0.5g - gT
gT - 24.5 = 0.5g
10T - 24.5 = 5
10T = 29.5
T = 2.95 s
Substitute T = 2.95 s in equation (1)
H = 0.5gT^2
= 0.5 * 10 * (2.95)^2
= 43.5 m
Height of the tower is 43.5 m