Aircraft acceleration trajectory

The aircraft, which has a speed of 1080 km/h, starts moving for 1 minute with an acceleration of 1 m/s². What will be its final speed? What trajectory will he take at this minute?

Final Answer:

v =  1296 km/h
s =  19.8 km

Step-by-step explanation:

$$\begin{gathered} v_1=1080\text{km/h}\to \text{m/s}=1080:3.6\text{m/s}=300\text{m/s} \\ a=1{\text{m/s}}^2 \\ t=1\text{min}\to \text{s}=1\cdot 60\text{s}=60\text{s} \\ {v}_2=v_1+a\cdot t=300+1\cdot 60=360\text{m/s} \\ v=v_2\to \text{km/h}=v_2\cdot 3.6\text{km/h}=360\cdot 3.6\text{km/h}=1296\text{km/h}=1296\text{km/h} \end{gathered}$$

$$\begin{gathered} s_2=\frac{1}{2}\cdot a\cdot t^2=\frac{1}{2}\cdot 1\cdot 60^2=1800\text{m} \\ {s}_3=v_1\cdot t+s_2=300\cdot 60+1800=19800\text{m} \\ s=s_3\to \text{km}=s_3:1000\text{km}=19800:1000\text{km}=19.8\text{km}=\frac{99}{5}\text{km}=19.8\text{km} \end{gathered}$$

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