can you please help me with a maths question?
please provide working out *******
given that 1m/s=3.6km/h, find:
a 50mm/s in km/h
b288km/h in m/s
+26400 given that 1m/s=3.6km/h, find:
\(\begin{array}{rcll} 1\ \frac{m}{s} &=& 3.6\ \frac{km}{h} \\ \end{array}\)
a 50 mm/s in km/h
\(\begin{array}{rcll} 50\ \frac{mm}{s} \cdot \frac{ 1\ m }{ 1000\ mm } \cdot \frac{3.6\ \frac{km}{h}}{1\ \frac{m}{s} } &=& \frac{ 50 \cdot 3.6 }{1000} \cdot \frac{m}{s}\cdot \frac{s}{m}\cdot \frac{km}{h}\\ &=& 0.18\ \frac{km}{h}\\ \end{array}\)
b 288 km/h in m/s
\(\begin{array}{rcll} 288\ \frac{km}{h} \cdot \frac{1\ \frac{m}{s} } {3.6\ \frac{km}{h}} &=& \frac{288}{3.6} \cdot \frac{km}{h} \cdot \frac{m}{s} \cdot \frac{h}{km} \\ &=& \frac{288}{3.6}\ \frac{m}{s} \\ &=& 80\ \frac{m}{s} \\ \end{array}\)
