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    93.

    A particle of mass mm is projected vertically upwards with a velocity vv. If the air resistance is proportional to the square of the velocity, given by kv2kv^2, where kk is a positive constant, what is the maximum height reached by the particle?

    A

    mkln⁑(1+kv02mg)\frac{m}{k} \ln(1 + \frac{kv_0^2}{mg})

    B

    m2kln⁑(1+kv022mg)\frac{m}{2k} \ln(1 + \frac{kv_0^2}{2mg})

    C

    m2kln⁑(1+kv02mg)\frac{m}{2k} \ln(1 + \frac{kv_0^2}{mg})

    D

    mkln⁑(1+2kv02mg)\frac{m}{k} \ln(1 + \frac{2kv_0^2}{mg})

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