Question

Find the value of t when the particles come to instaneous rest at a point A. no googling allowed​

Answer 1

Solution:

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Instant rest = 0 m/s or v = 0

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Since v = 30(e$^{–t}$ – 0.05)

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0 = 30(e$^{–t}$ – 0.05)

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=> 0 = e$^{–t}$ – 0.05

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In 0.05 = Ine$^{–t}$ $\leftarrow$ In both sides to remove 'e'.

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In 1/20 = – t Ine (Ine = 1)

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In 1 (In 1 = 0) – In20 = – t

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t = In2Os

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Laws of logarithm

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In (a/b) = Ina – Inb