3 years ago

Cruise control should not be used _____.

Physics

1 answer:

KiRa [710]3 years ago

8 0

D. in the rain. Because you could wreck with it on

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3 years ago

An 84.0 kg sprinter starts a race with an acceleration of 1.76 m/s2. If the sprinter accelerates at that rate for 11 m, and then

gulaghasi [49]

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t=17.838s

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The displacement is divided in two sections, the first is a section with constant acceleration, and the second one with constant velocity. Let's consider the first:

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$a=\frac{dv}{dt}=1.76$

So, the velocity can be obtained by integrating this expression:

$v=1.76t$

The velocity is, by definition: $v=\frac{dx}{dt}$ , so

$dx=1.76tdt\\x=1.76\frac{t^{2}}{2}$ .

Do x=11 in order to find the time spent.

$11=1.76\frac{t^2}{2}\\ t^2=\frac{2*11}{76} \\t=\sqrt{12.5}=3.5355s$

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$x=v*t\\t=\frac{x}{v}$

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$t=\frac{89}{6.2225}=14.303s$

So, the total time is 14.303+3.5355s=17.838s

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