Answered

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A runner covers the last straight stretch of a race in 8s.During that time he speeds up from 7 m/s to 9m/s. What is the acceleration

Sagot :

Given

Time taken is t=8 s.

The initial speed is u=7 m/s

The final speed is v=9 m/s.

To find

The acceleration

Explanation

We know the acceleration is the ratio of the difference in the speed to the time taken.

Thus,

[tex]\begin{gathered} a=\frac{v-u}{t} \\ \Rightarrow a=\frac{9-7}{8} \\ \Rightarrow a=\frac{2}{8}=\frac{1}{4}=0.25\text{ m/s}^2 \end{gathered}[/tex]

Conclusion

The acceleration is

[tex]0.25\text{ m/s}^2[/tex]

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