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6. A particle is moving on a straight line such that a(t) = cost, s(0) = 0, v(0) = 5. Find the position s(t) of the particle.
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Aug 7, 2022
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6. A particle is moving on a straight line such that a(t) = cost, s(0) = 0, v(0) = 5.
Find the position s(t) of the particle.
Mathematics
high-school
Maksym Semenykhin
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Maksym Semenykhin
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Explanation:
St3-623t+4
St3-623t+4V=
St3-623t+4V=ds
St3-623t+4V=dsdt
St3-623t+4V=dsdtSo 3t²12 + 3 = v
St3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =
St3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =6t - 12 = 0
St3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =6t - 12 = 0t=2s
St3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =6t - 12 = 0t=2sv=3(2)² - 12 x 2+3=-9ms-1
Amol Sharma
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Aug 14, 2022
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Amol Sharma
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