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Igoryamba
3 years ago
9

You and a friend each drive 58 km. You travel at 89. km/h, your friend at 94 km/h. How long will your friend wait for you at the

end of the trip?
Physics
1 answer:
alexgriva [62]3 years ago
5 0

Answer:

2.1 minutes/ 126 seconds

Explanation:

Distance = speed x time

We can rearrange this equation for time:

Time = Distance/Speed

<u>For you (89km/h):</u>

Distance = 58km, Speed = 89km/h

Therefore time = 58/89 = 0.652 (3dp) hours

<u>For friend:</u>

Distance = 58km, Speed = 94km/h

Therefore time = 58/94 = 0.617 (3dp) hours

Difference in time = 0.652 - 0.617 = 0.035 hours.

Convert to minutes: 0.035 x 60 (because 60 min in hour) = 2.1

Your friend will be waiting for 2.1 minutes, or 126 seconds (2.1 x 60).

Hope this helped!

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Suppose you want to determine the resistance of a resistor that is nominally 100 . You should be able to apply 10 V across the r
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a) For y = 102 mA, R = 98.039 ohms

For y = 97 mA, R = 103.09 ohms

b) Check explanatios for b

Explanation:

Applied voltage, V = 10 V

For the first measurement, current y_{1} = 102 mA = 0.102 A

According to ohm's law, V = IR

R = V/I

Here, I = y_{1}

R = \frac{V}{y_{1} } \\R = \frac{10}{0.102} \\R = 98.039 ohms

For the second measurement, current y_{2} = 97 mA = 0.097 A

R = \frac{V}{y_{2} }

R = \frac{10}{0.097} \\R = 103 .09 ohms

b) y = \left[\begin{array}{ccc}y_{1} &y_{2} \end{array}\right] ^{T}

y = \left[\begin{array}{ccc}y_{1} \\y_{2} \end{array}\right]

y = \left[\begin{array}{ccc}102*10^{-3} \\97*10^{-3}  \end{array}\right]

A linear equation is of the form y = Gx

The nominal value of the resistance = 100 ohms

x = \left[\begin{array}{ccc}100\end{array}\right]

\left[\begin{array}{ccc}102*10^{-3} \\97*10^{-3}  \end{array}\right] =  \left[\begin{array}{ccc}G_{1} \\G_{2}  \end{array}\right] \left[\begin{array}{ccc}100\end{array}\right]\\\left[\begin{array}{ccc}G_{1} \\G_{2}  \end{array}\right] =  \left[\begin{array}{ccc}102*10^{-5} \\97*10^{-5}  \end{array}\right]

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