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A body dropped from top of a tower fall through 40 m during the last two seconds of its fall. The height of tower is (g = 10 m/s²)
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- 60 m
- 45 m
- 80 m
- 50 m
Correct Option: B
Let the body fall through the height of tower in t seconds. From,
Dn = u + (a/2) 2n - 1 we have, total distance travelled in last 2 seconds of fall is
D = Dt + D(t-1)
![]() | 0 + | (2t - 1) | ![]() | + | ![]() | 0 + | {2(t - 1) - 1} | ![]() | |||
2 | 2 |
= | (2t - 1) + | (2t - 3) = | (4t - 4) | |||
2 | 2 | 2 |
= | × 4(t - 1) | |
2 |
or, 40 = 20 (t – 1) or t = 2 + 1 = 3s
Distance travelled in t seconds is
s = ut + | at² = 0 + | × 10 × 3² = 45m | ||
2 | 2 |