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Karolina [17]
3 years ago
12

A man wishes to row the shortest possible distance from north to south across a river which is flowing at 2 km/hr from the east.

He can row at 4 km/hr. (a) In which direction should he steer

Physics
1 answer:
sweet-ann [11.9K]3 years ago
8 0

From the diagram we have that

sin\theta = \frac{2}{4}

\theta = sin^{-1} (\frac{1}{2})

\theta = 30\°

Therefore the direction is 30° from east of south

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Answer:

the volume in terms of time t ⇒ \\V = e^{0.05t} + 399\\

Explanation:

Given that :

\frac{dv}{dt}= kv\\\\\int\limits \, \frac{dv}{v}=  \int\limits \, kdt\\In v = kt + C_1\\v = e^{kt} + C\\400 = e^{k*0} + C\\400 = 1 + C\\C = 400 -1\\C = 399

V = e^{kt} + 399

When v = 300 ;  \frac{dv}{dt}= - 15

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\frac{dv}{dt}= kv\\\\-15 = 300*k\\\\k = \frac{-15}{300}\\\\\\k = \frac{-1}{20}\\\\k = -0.05

∴ \\V = e^{0.05t} + 399\\

Therefore, the volume in terms of time t ⇒ \\V = e^{0.05t} + 399\\

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