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Consider the plot below describing motion along a straight line with an initial position of 10 m. −4 −3 −2 −1 0 1 2 3 4 5 6 1 2 3 4 5 6 7 8 9 b b b b b time (s) velocity (m/s) What is the acceleration at 1 second

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skyluke89

Answer:

[tex]+1 m/s^2[/tex]

Explanation:

Acceleration is given by

[tex]a=\frac{\Delta v}{\Delta t}[/tex]

where

[tex]\Delta v[/tex] is the change in velocity

[tex]\Delta t[/tex] is the time interval in which the change in velocity occurs

To find the acceleration at 1 second, we can take the data at t = 1 s and t = 2. We find:

[tex]\Delta t = -3 -(-4) = 1 s[/tex]

[tex]\Delta v = 2 - (1) = +1 m/s[/tex]

So, the acceleration is

[tex]a=\frac{+1}{1}=+1 m/s^2[/tex]

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