3 years ago

How long in seconds will it take you to run 100 meters if you run at 5 m/s

Physics

1 answer:

Gnoma [55]3 years ago

5 0

the answer should be 20 seconds

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The quantity of charge Q in coulombs (C) that has passed through a point in a wire up to time t (measured in seconds) is given b

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Explanation:

The quantity of charge Q in coulombs (C) that has passed through a point in a wire up to time t (measured in seconds) is given by :

$Q=t^3-2t^2+4t+4$

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$I=\dfrac{dQ}{dt}\\\\I=\dfrac{d(t^3-2t^2+4t+4)}{dt}\\\\I=3t^2-4t+4$

At t = 1 s,

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$I=3(1)^2-4(1)+4\\\\I=3\ A$

So, the current at t = 1 s is 3 A.

For lowest current,

$\dfrac{dI}{dt}=0\\\\\dfrac{d(3t^2-4t+4)}{dt}=0\\\\6t-4=0\\\\t=0.67\ s$

Hence, this is the required solution.

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3 years ago

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