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AnnyKZ [126]
2 years ago
5

A particle moves on a coordinate line with an acceleration at time t seconds of e^t/2 m/sec^2. At t=0 the particle is at the ori

gin, and its velocity is -4 m/sec

Mathematics
1 answer:
castortr0y [4]2 years ago
5 0
Hello,

A) a=e^ \frac{t}{2} \\\\

v(t)=\int\ a\ dt=\int\ e^ \frac{t}{2}\ dt=2*e^ \frac{t}{2}+C\\\\v(0)=-4\\
 2*e^ \frac{0}{2}+C=-4\\
 C=-6\\\\

\boxed{v(t)= 2*e^ \frac{0}{2}-6}\\\\





B)
2*e^ \frac{t}{2}-6=0\\\\

e^ \frac{t}{2}=3\\\\

t=2*ln(3)\approx{2,19722...}\\



C)

x(t)=\int_0^6(2*e^ \frac{t}{2}-6})\ dt=\left[4*e^ \frac{t}{2}-6t\right]_0^6\\\\ =e^3-36-4=4e^3-40\approx{40.3421...}\\\\



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In 1987 Babe Ruth has a record setting season in which he hit 60 home runs for New York Yankees. If babe Ruth continues at the s
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Answer:

If he maintains the same rate he'll hit 180 home runs over the next three seasons.

Step-by-step explanation:

If he maintains the same rate of homeruns per season as he did in 1987 the number of home runs he'll hit over the next three seasons is the rate from 1987 multiplied by 3. We have:

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7 0
2 years ago
Answer it right and i'll try to give you brainliest.
mario62 [17]

Answer:

384 cm²

Step-by-step explanation:

Since it is a square pyramid, the total surface area of the pyramid is the area of its square base plus the area of its 4 triangular faces.

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2 years ago
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I think it would be layer 4
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3 years ago
Read 2 more answers
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Step-by-step explanation:

1/8 x 8 = 1

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