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  1. 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)​
    1. 60 m
    2. 45 m
    3. 80 m
    4. 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 +
g
(2t - 1) + 0 +
g
{2(t - 1) - 1}
22

=
g
(2t - 1) +
g
(2t - 3) =
g
(4t - 4)
222

=
10
× 4(t - 1)
2

or,  40 = 20 (t – 1) or t = 2 + 1 = 3s
Distance travelled in t seconds is
s = ut +
1
at² = 0 +
1
× 10 × 3² = 45m
22



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