Answer:
Its negative acceleration is - 1.67 m/[tex]s^2[/tex]
Explanation:
Acceleration is the rate of change of velocity of a moving body.
For the formula, we use:
[tex]V_{f} =V_{i} +at[/tex]
where
[tex]V_{f}[/tex] is the final velocity, unit is in m/s
[tex]V_{i}[/tex] is the initial velocity, unit is in m/s
[tex]a[/tex] is the acceleration, unit is in m/[tex]s^2[/tex]
[tex]t[/tex] is the time, unit is in seconds (s)
For the given information
[tex]m = 5000kg[/tex]
[tex]V_{i}=60km/h[/tex]
[tex]t=10s[/tex]
[tex]V_{f}=0[/tex] since the truck went to a stop after 10 seconds
Conversion:
[tex]V_{i}= 60\frac{km}{h} x\frac{1000m}{1km} x\frac{1h}{3600s} =16.67\frac{m}{s}[/tex]
Solving the problem
Use the formula, then substitute the given information, we get:
[tex]V_{f} =V_{i} +at[/tex]
[tex]0=16.67m/s+a(10s)[/tex]
Transposing a(10s) to the left side of the equation, we have:
[tex]-a(10s)=16.67 m/s[/tex]
Divide both sides by - (10s), we have:
[tex]a=\frac{16.67m/s}{-(10s)}[/tex]
[tex]a=-1.67m/s^2[/tex]
Therefore, the negative acceleration is [tex]-1.67m/s^2[/tex].
To learn more about this topic, just click on the following links:
* How to compute acceleration
https://brainly.ph/question/106259
* Law of acceleration
https://brainly.ph/question/180967
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