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A )
[tex]acceleration = \frac{∆v}{∆t} = slope \\ [/tex]
Thus ;
[tex]acceleration = 2 \: \: \frac{m}{ {s}^{2} } [/tex]
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B )
[tex]v(t) = 2t[/tex]
So ;
[tex]v(60) = 2 \times (60)[/tex]
[tex]v(60) = 120[/tex]
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Point :
The area which is under the figures in v-t graphs , shows the distance traveled.
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Thus ;
[tex]distance \: traveled = \frac{1}{2} \times (60) \times 120 \\ [/tex]
[tex]distance \: traveled \: = 30 \times 120 \\ [/tex]
[tex]distance \: traveled \: = 3600 \: \: meters \\ [/tex]
Done...
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