Acceleration

The car accelerates at rate 0.5m/s². How long travels 400 meters and what will be its speed?

Correct answer:

t =  40 s
v =  20 m/s

Step-by-step explanation:

$$\begin{gathered} a=0.5{\text{m/s}}^2 \\ s=400\text{ m } \\ s={\displaystyle \frac{1}{2}}a{t}^2 \\ t=\sqrt{2\cdot s\mathrm{/}a}=\sqrt{2\cdot 400\mathrm{/}0.5}=40\text{ s} \end{gathered}$$

$v=a\cdot t=0.5\cdot 40=20\text{ m/s}$

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