Question

the driver of a train travelling at 40 m/s applies the brakes as a train enters a station . the train slow down at a rate of 2m/s . the platform is 400m long . will the train stop in time ?

answer please

step by step​

Answer 1

Answer:

Initial speed =u=40ms

−1

Acceleration =a=−2ms

−2

(Retardation, hence negative)

Final speed =v=0

Now, s= Distance train travels before stopping

Now, we know from the equations of motion that

v

2

=u

2

+2as

0=40

2

+2×(−2)×s

4s=1600⇒s=400m

So, the train covers 400m before stopping

Also, the length of platform =400m

So, the train stops in time