Question

If a train is travelling at a speed of 90km/h brakes are applied at uniform acceleration at 0.5m/s calculate the displacement

Answer 1

Answer:

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Explanation:

Given that,

Acceleration a=−0.5m/s

2

Speed v=90km/h=25m/s

Using equation of motion,

v=u+at

Where,

v = final velocity

u = initial velocity

a = acceleration

t = time

Put the value into the equation

Finally train will be rest so, final velocity,v=0

0=25−0.5t

25=0.5t

t= 0.5/25

Again, using equation of motion,

S=ut+ 1/2 at ^2

Where, s = distance

v = final velocity

u = initial velocity

a = acceleration

t = time

Put the value into the equation

Where S is distance travelled before stop

s=625 m

So, the train will go before it is brought to rest is 625 m.