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3 years ago

19.If V= V + at, then a=

Mathematics

2 answers:

Verizon [17]3 years ago

8 0

Answer:

$a=\frac{V-V_{0}}{t}$

Step-by-step explanation:

$V = V_{0}+at$ (given)

$at = V-V_{0}$ (minus $V_{0}$ on both sides)

$a = \frac{V-V_{0}}{t}$ (divide $t$ on both sides)

Hope this helps :)

enot [183]3 years ago

4 0

Answer: A

Step-by-step explanation:

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3 years ago

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3 years ago

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You want to end up with $A\sin(\omega t+\phi)$ . Expand this using the angle sum identity for sine:

$A\sin(\omega t+\phi)=A\sin(\omega t)\cos\phi+A\cos(\omega t)\sin\phi$

We want this to line up with $2\sin(4\pi t)+5\cos(4\pi t)$ . Right away, we know $\omega=4\pi$ .

We also need to have

$\begin{cases}A\cos\phi=2\\A\sin\phi=5\end{cases}$

Recall that $\sin^2x+\cos^2x=1$ for all $x$ ; this means

$(A\cos\phi)^2+(A\sin\phi)^2=2^2+5^2\implies A^2=29\implies A=\sqrt{29}$

Then

$\begin{cases}\cos\phi=\frac2{\sqrt{29}}\\\sin\phi=\frac5{\sqrt{29}}\end{cases}\implies\tan\phi=\dfrac{\sin\phi}{\cos\phi}=\dfrac52\implies\phi=\tan^{-1}\left(\dfrac52\right)$

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3 years ago

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