Prove the postulate below?
The drivers of a train moving at a speed #v_1# sight another train at a distance #d# ahead of them on the same track, moving with slower speed #v_2# . 1st driver pulles the brake to create a retardation #r# . Show that if #d > (v_1 - v_2)^2/(2r)# , there will be no collision.
The drivers of a train moving at a speed
1 Answer
Using the equation of motion:
Using the position of the first train at
This is a quadratic:
In the quadratic equation, we force the discriminant (ie