Question

two trains one travelling at 72 km h and at 90 kilometre per hour heading towards one another along a straight level track when they are 1.0 kilometre apart but the Cheetah other train and applied which is that is train at the rate of 1.0 metre per second determine whether the trains would collide or not

Answer 1

Let the distance travelled by first train after application of brake $= d_1$

Let the distance travelled by first train after application of brake $= d_2$

Speed of train $A = 72 km =\frac { 72\times 1000 }{ 60\times 60 } =20\frac { m }{ s }$

Speed of train $B = 90 Km =\frac { 90\times 1000 }{ 60\times 60 } =25\frac { m }{ s }$

Retardation acceleration $a=-1\frac { m }{ { s }^{ 2 } }$

WKT, $v^2 - u^2 = 2as$

For train A,

$0^2 - 20^2 = 2\times (-1) \times s$

$S_{ 1 }=\frac { -400 }{ -2 } =200m$

For train B,

$0^2 - 25^2 = 2\times (-1) \times s$

$S_{ 2 }=\frac { 625 }{ 2 } =312.5m$

The condition for both the trains not to collide is,

$S_1+ S_2 <$distance between them

$200+ 312.5 < 1000 m$

$512.5 < 1000m$

Hence both the trains won’t collide.

Answer 2

Answer:

No

Explanation:

The trains won't collide.