A body is moving with a uniform acceleration . its velocity after 5s is 25m/s and after 8s is 34m/s . calculate the distance it will cover in 10sec.
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Answered by
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Explanation:
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v = u + at
After 5s
25 = u + 5a ——(1)
After 8s
34 = u + 8a ——(2)
Subtract equation (1) from equation (2)
34 - 25 = u + 8a - u - 5a
9 = 3a
a = 3 m/s^2
Substitute a = 3m/s^2 in equation (1)
25 = u + 5*3
u = 10 m/s
Distance travelled in 12th second
S = u + a(n - 1/2)
S = 10 + 3*(12 - 1/2)
S = 44.5m
Distance travelled in 12th second is 44.5m
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Answered by
1
v = u + at
After 5s
25 = u + 5a ——(1)
After 8s
34 = u + 8a ——(2)
Subtract equation (1) from equation (2)
34 - 25 = u + 8a - u - 5a
9 = 3a
a = 3 m/s^2
Substitute a = 3m/s^2 in equation (1)
25 = u + 5*3
u = 10 m/s
Distance travelled in 12th second
S = u + a(n - 1/2)
S = 10 + 3*(12 - 1/2)
S = 44.5m
Distance travelled in 12th second is 44.5m
Hope helps
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