Acceleration 82603

How far must a car travel to reach a speed of 72 km per hour if it starts from rest in a uniformly accelerated motion with an acceleration of 0.2 meters per second²?

Correct answer:

s =  1000 m

Step-by-step explanation:

$$\begin{gathered} v=72\text{km/h}\to \text{m/s}=72:3.6\text{m/s}=20\text{m/s} \\ a=0.2{\text{m/s}}^2 \\ a=v/t \\ t=v/a=20/0.2=100\text{s} \\ s=\frac{1}{2}\cdot a\cdot t^2=\frac{1}{2}\cdot 0.2\cdot 100^2=1000\text{m} \end{gathered}$$

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