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viktelen [127]
3 years ago
5

How can you optimize your physical health?

Health
1 answer:
Finger [1]3 years ago
6 0

Answer:

I think it's C!

Explanation:

sorry if it's wrong.

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A bus started from rest with a uniform acceleration of 2m/s. A mate who is 9m behind the bus runs after it immediately with a un
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The bus's position x at time t is

x_{\rm bus}=\dfrac12\left(2\,\dfrac{\rm m}{\rm s^2}\right)t^2

If we take the bus's rear's starting position to be the origin, then the position of the mate (?) is given by

x_{\rm mate}=-9\,\mathrm m+\left(6\,\dfrac{\rm m}{\rm s}\right)t

The mate draws level with the rear of the bus when x_{\rm bus}=x_{\rm mate}:

\dfrac12\left(2\,\dfrac{\rm m}{\rm s^2}\right)t^2=-9\,\mathrm m+\left(6\,\dfrac{\rm m}{\rm s}\right)t

Drop the units to make things simpler:

\dfrac22t^2=-9+6t\iff t^2-6t+9=(t-3)^2=0\implies t=3

So it would take 3 seconds for the mate to catch up to the bus.

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