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Brilliant_brown [7]
3 years ago
11

After 6 hours, a driver had traveled 390 miles. how far had the driver traveled after 4 hours

Mathematics
1 answer:
lozanna [386]3 years ago
8 0
Sorry I needed points for an important quiz
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The Answer is A.) -4

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In a free-fall experiment, an object is dropped from a height of h = 400 feet. A camera on the ground 500 ft from the point of i
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Hmmm the object, is at rest, when dropped, so it has a velocity of 0 ft/s

the only force acting on the object, is gravity, using feet will then be -32ft/s²,


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\bf \displaystyle \int -32\cdot dt\implies -32t+C
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\textit{object moves from \underline{rest}, so velocity is 0 at 0secs}
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-32(0)+C=0\implies C=0\implies \boxed{v(t)=-32t}
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\textit{now to get the positional s(t)}
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\displaystyle \int -32t\cdot dt\implies -16t^2+C
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\textit{the initial \underline{position} was 400ft away at 0secs}
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-16(0)^2+C=400\implies C=400\implies \boxed{s(t)=-16t^2+400}

when will it reach the ground level? let's set s(t) = 0

\bf s(t)=-16t^2+400\implies 0=-16t^2+400\implies \cfrac{-400}{-16}=t^2
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25=t^2\implies \boxed{5=t}


part B)  check the picture below

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Yeah this is the answer

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