Antelope 4440

The cheetah began to chase the antelope, and there was a distance of 120 m between them. Although the antelope ran at 72 km/h, the cheetah caught up with it in 12 seconds. How fast was the cheetah running?

Correct answer:

v =  30 m/s

Step-by-step explanation:

$$\begin{gathered} v_1=72\text{km/h}\to \text{m/s}=72:3.6\text{m/s}=20\text{m/s} \\ {t}_1=12\text{s} \\ {s}_2=120\text{m} \\ {v}_1\cdot t_1+s_2=v\cdot t_1 \\ 20\cdot 12+120=v\cdot 12 \\ 12v=360 \\ v=\frac{360}{12}=30 \\ v=30=30\text{m/s} \end{gathered}$$

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