Calculate the vertical distance travelled by an object dropped from rest if it travels for 60 seconds without air resistance.
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1
Answer:
Initial velocity of the body u=0
Distance covered in t
th
second, S
t
=u+
2
1
g(2t−1)
∴ S
t
=0+
2
1
g(2t−1)=
2
1
g(2t−1)
Distance travelled in first second i.e. t=1, S
1
=
2
1
g(2×1−1)=
2
1
g
Distance travelled in 2nd second i.e. t=2, S
2
=
2
1
g(2×2−1)=
2
3
g
Distance travelled in third second i.e. t=3, S
3
=
2
1
g(2×3−1)=
2
5
g
⟹ S
1
:S
2
:S
3
=1:3:5
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