a body covers 12m in 2nd second and 20m in 4th second . how much distance it covers in total after 9 seconds of start?
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0
Answer:
40 metre distance it will cover after 9 seconds of start.
Answered by
0
Explanation:
s
n
=u+a/2(2n−1)
s
2
=12
⇒12=u+a/2(2×2–1)
⇒12=u+3a/2 ………. (1)
s
4
=20
⇒20=u+a/2(2×4–1)
⇒20=u+7a/2 ………. (2)
Subtract equation (1) from (2)
s=4a/2
⇒a=4ms
−2
12=u+3/2×4
⇒u=6ms
−1
Distance covered in the 4 seconds after 5
th
second,
=S
9
–S
5
=u(9)+1/2a(9)
2
–[u(5)+1/2a(5)
2
]
=4u+a/2(81–25)
=4×6+4/2×56=136m.
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