Answer:
a = [tex]-\frac{25}{27}[/tex] m/s²
Explanation:
Acceleration (a) = (final velocity - initial velocity) ÷ (final time - initial time) = [tex]\frac{v_{f} - v_{i} }{t_{f} - t_{i} }[/tex]
Converting the speed from km/h to m/s;
100 km = 100000m
1hr = 3600s
∴ 100km/hr ⇄ [tex]\frac{100000 m}{3600 s}[/tex] = [tex]\frac{250}{9} m/s[/tex]
Acceleration = [tex]\frac{0 - 250/9}{30}[/tex] = [tex]-\frac{250}{9 * 30} = -\frac{25}{27}[/tex] m/s²
i.e deceleration = [tex]\frac{25}{27}[/tex] m/s²