Question

Two trains travelling on the same track are approaching each other with equal speed of 40 m/s. The drivers of the trains begin to decelerate simultaneously when they are just 2 km apart. If the decelerations are both uniformly an equal, then the value of deceleration to avoid the collision should be (1) 0.8 m/s (2) slightly more than 0.8 m/s2 (3) slightly less than 0.8 m/s? (4) 0.5 m/s

Answer 1

Answer:

-0.8 m/sec^2

Step-by-step explanation:

initial velocity is 40m/s

to avoid collision on same track they need to completely stop,therefore final velocity will be zero.

distance is 2km i.e. 2000m.

using 3rd equation of motion

2as= v^2 - u^2

2*a*2000=-1600

a=-1600/2000

a=-0.4ms^-2

now total retardation for 2 trains will be into 2.

you get the answer

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Answer 2

Answer:

Speed of trains 40m/s

Distance given 2 km

Both trains will cover a distance of 1 km.

v²= u²+2as

0=(40)²+2a x 1000

Acceleration= (-0.8)