Answer to Question #176304 in Physics for Kenneth

Question

A car moving with a speed of 50km/hr can be stopped by breaks after all least 6m. if thesame car is moving at a speed of 100km/hr the minimum stopping distance is --------?

Answer 1

Let's first find the deceleration of the car:

$$v^2=v_0^2+2as,$$ $$0=v_0^2+2as,$$ $$a=\dfrac{-v_0^2}{2s}=\dfrac{-(13.89\ \dfrac{m}{s})^2}{2\cdot6\ m}=-16.1\ \dfrac{m}{s^2}.$$

Finally, we can find the minimum stopping distance if the same car is moving at a speed of 100km/hr:

$$s=\dfrac{-v_0^2}{2a}=\dfrac{-(27.78\ \dfrac{m}{s})^2}{2\cdot(-16.1\ \dfrac{m}{s^2})}=24\ m.$$