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Lapatulllka [165]
3 years ago
12

How far will you travel if you run for 10 minutes at 2m/sec

Mathematics
1 answer:
Ierofanga [76]3 years ago
4 0
10 minutes at 2 meters/second

1 minute = 60 seconds
10 minutes = 600 seconds.

600 seconds at 2 meters/second
2 meters × 600 = total distance
1200 meters <em>or</em> 1.2 km
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Kryptonite is a material found on the planet Krypton and has various effects, most importantly on Superman. The most common type
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The maximum amount of red kryptonite present is 33.27 g after 4.93 hours.

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dy/dt = y(1/t - k)

separating the variables, we have

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when t = 3 hours, y = 30 grams. So,

y = Ate^{-kt}\\30 = A(3)e^{-kX3}\\30 = 3Ae^{-3k} (2)

dividing (2) by (1), we have

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Substituting A and k into y, we have

y = 18.36te^{-0.203t}

The maximum value of y is obtained when dy/dt = 0

dy/dt = y(1/t - k) = 0

y(1/t - k) = 0

Since y ≠ 0, (1/t - k) = 0.

So, 1/t = k

t = 1/k

So, the maximum value of y is obtained when t = 1/k = 1/0.203 = 4.93 hours

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