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Nookie1986 [14]
3 years ago
9

Solve the given equation. Check your solution. 60 (2s+5)=64

Mathematics
1 answer:
nekit [7.7K]3 years ago
7 0
<span>we are given the function 60 (2s+5)=64 and is asked in the problem to determine the solution. In this case, we can easily extract the value of s in the proceeding steps: 

</span><span>60 (2s+5)=64
2s + 5 = 64/60
2s = 64/60 - 5
s = (64/60 - 5)/2
s= -1.97
 Answer would be D</span>
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Let \vec r(t),\vec v(t),\vec a(t) denote the rocket's position, velocity, and acceleration vectors at time t.

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\vec r(t)=\left(\vec r(0)+\displaystyle\int_0^t\vec v(u)\,\mathrm du\right)\,\rm m

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\boxed{\vec r(t)=\left\langle250t,450t+1.25t^2,10+500t-\dfrac g2t^2\right\rangle\,\rm m}

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c. The rocket reaches its maximum height when its vertical velocity (the z-component) is 0, at which point we have

-\left(500\dfrac{\rm m}{\rm s}\right)^2=-2g(z_{\rm max}-10\,\mathrm m)

\implies\boxed{z_{\rm max}=125,010\,\rm m}

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