Question

A train is traveling at a speed of

Answer 1

Answer:

Distance covered by the train, x = 493.72 meters

Explanation:

It is given that,

Initial speed of the train, u = 80 km/h = 22.22 m/s

Final speed of the train, v = 0 (it stops)

Acceleration of the train, $a=-0.5\ m/s^2$ (it decelerates)

Let x is the distance the train travels from the time the conductor applies the brakes until the train comes to a complete stop. It can be calculated using the kinematic formula as :

$v^2-u^2=2ax$

$x=\dfrac{v^2-u^2}{2a}$

$x=\dfrac{-(22.22)^2}{2\times -0.5}$

x = 493.72 meters

So, the distance covered by the train from the time the conductor applies the brakes until the train comes to a complete stop is 493.72 meters. Hence, this is the required solution.