What does a straight line on a distance time graph mean

1 answer:

7 0

It means the speed (velocity) was constant - the object traveled the same distance per time period throughout the graph.

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For questions 3 – 5, an airplane is heading south at an airspeed of 540 km/hr, but there is a wind blowing from the northeast at

GuDViN [60]

First, let's calculate the horizontal and vertical components of the wind speed (W) and the airplane speed (A), knowing that south is a bearing of 270° and northeast is a bearing of 45°:

$\begin{gathered} W_x=W\cos45°\\ \\ W_x=50\cdot0.707\\ \\ W_x=35.35\\ \\ \\ \\ W_y=W\sin45°\\ \\ W_y=50\cdot0.707\\ \\ W_y=35.35 \end{gathered}$ $\begin{gathered} A_x=A\cos270°\\ \\ A_x=540\cdot0\\ \\ A_x=0\\ \\ \\ \\ A_y=A\sin270°\\ \\ A_y=540\cdot(-1)\\ \\ A_y=-540 \end{gathered}$

Now, let's add the components of the same direction:

$\begin{gathered} V_x=W_x+A_x=35.35+0=35.35\\ \\ V_y=W_y+A_y=35.35-540=-504.65 \end{gathered}$

To find the resultant bearing (theta), we can use the formula below:

$\begin{gathered} \theta=\tan^{-1}(\frac{V_y}{V_x})\\ \\ \theta=\tan^{-1}(\frac{-504.65}{35.35})\\ \\ \theta=-86° \end{gathered}$

The angle -86° is equivalent to -86 + 360 = 274°.

Therefore the correct option is b.

8 0

1 year ago

Graph the inequality x<1

S_A_V [24]

,,,,,,,,,,,,,m............

7 0

3 years ago

and 2008 Classic Car Wash estimated its business would increase by 20% each year. if they washed 19,300 in 2008, how many cars c

professor190 [17]

Well, from 2008 to 2010 is just 2 years, so let's say the initial amount is the 19300 from 2008, how many will it be in 2010?

$\bf \qquad \textit{Amount for Exponential Growth}\\\\
A=I(1 + r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &19300\\
r=rate\to 20\%\to \frac{20}{100}\to &0.20\\
t=\textit{elapsed time}\to &2\\
\end{cases}
\\\\\\
A=19300(1+0.2)^2$

6 0

3 years ago

98.75 + 5% sales tax

jolli1 [7]

Answer:

103.69

Step-by-step explanation:

5% of 98.75 is about 4.94. So if you were to do money, it'd be 98.75 + 4.94, which equals about 103.69.

5 0

3 years ago

The table above represents what type of function?

exis [7]

Answer:

A?? because I think it's not linear because it's not proportional

7 0

3 years ago

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