Odpowiedź :
[tex]ZADANIE 1\\Dane:\\V=54\frac{km}{h} =54*\frac{10}{36} =\frac{540}{36} =15\frac{m}{s} \\s=50m\\\\Szukane:\\t=?\\\\Wzory:\\V=\frac{s}{t} |*t\\V*t=s|:V\\t=\frac{s}{V} \\\\\\t=\frac{50m}{15\frac{m}{s} } = 3,33[s]\\\\[/tex]
[tex]ZADANIE 2\\Dane:\\t_{1} =2h \\V_{sr1} =65\frac{km}{h} \\t_{2} =36min=2160s\\s_{1} =s_{2} \\\\Szukane:\\s_{1} =?\\s_{2} =?\\V_{sr2} =?\\\\Wzory:\\V_{sr} =\frac{s}{t} \\\\V_{sr} =\frac{s}{t} |*t\\V_{sr}*t=s\\s=V_{sr}*t\\\\\\Rozwiazanie:\\s_{1} =65\frac{km}{h} *2h=130 [km] \\130km=130000m\\\\s_{1} =s_{2} \\\\130000m=130000m\\\\V_{sr2} =\frac{130000m}{2160s} =60,19\frac{m}{s} \\\\[/tex]
[tex]ZADANIE3\\Dane:\\s_{1} =5km\\V_{sr1}=20\frac{km}{h} \\s_{2} =12km\\V_{sr2} =16\frac{km}{h} \\\\Szukane:\\t_{1} =?\\t_{2} =?\\V_{src} =?\\\\Wzory:\\V_{src} =\frac{∆s}{∆t}\\\\V_{sr} =\frac{s}{t} |*t\\V_{sr}*t=s|:V\\t=\frac{s}{V_{sr}} \\\\\\Rozwiazanie:\\t_{1} =\frac{5km}{20\frac{km}{h} } =0,25[h]\\t_{2} =\frac{12km}{16\frac{km}{h} } =0,75[h]\\\\V_{src} =\frac{12km-5km}{0,75h-0,25h} =\frac{7km}{0,5h} =14\frac{km}{h}[/tex]
[tex]ZADANIE4\\Dane:\\t=5s\\V=54\frac{km}{h} =54*\frac{10}{36} =\frac{540}{36} =15\frac{m}{s} \\\\Szukane:\\a=?\\s=?\\\\Wzory:\\a=\frac{V}{t} \\\\V=\frac{s}{t} |*t\\V*t=s\\s=V*t\\\\\\Rozwiazanie:\\a=\frac{15\frac{m}{s} }{5s} =3[\frac{m}{s^{2} } ]\\\\s=15\frac{m}{s} *5s=75[m][/tex]
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