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ag35cosy

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2 Autos are moving along a Highway in a straight line with same magnitude of velocity v. The distance between the 2 autos is d. Now both the autos, A and B have to deaccelerate themselves to velocity v' respectively , when they are at a distance D from a Tunnel. (v' is the maximum entering velocity in the Tunnel.) Show that the 2 Autos can not have a collision.

2 Autos are moving along a Highway in a straight line with same magnitude of velocity v. The distance between the 2 autos is d. Now both the autos, A and B have to deaccelerate themselves to velocity v' respectively , when they are at a distance D from a Tunnel. (v' is the maximum entering velocity in the Tunnel.) Show that the 2 Autos can not have a collision.

Now what they are trying to say is that suppose there is a point at distance D from the face of a Tunnel . When Car A reaches this point it reduces it's velocity from v to v' ( which is the maximum velocity allowed inside the Tunnel). Then Car B (which was d meters behind Car A) reaches this point and also deaccelerates from v to v'. What we have to show is that during all this the 2 cars cannot collide with each other...

I would really appreciate your help...