A headon collision between two vehicles of the same mass eac

A head-on collision between two vehicles of the same mass, each moving at 50 mph, would likely kill the passengers of both vehicles, whereas a head-on collision with each vehicle moving at half the speed would be violent but readily survivable with minimal injuries. Using equations as necessary, explain why this is true.

Solution

Velocity, acceleration & jerk are all fine as long as they are spatially uniform.if the there are spatially non uniform forces applied to your body, then there will be stresses: tension, compression, shear or torsion.if the there are spatially non uniform forces applied to your body, then there will be stresses: tension, compression, shear or torsion.In case of velocity v the the deaccleration experiecned by different parts will be double than the that with v/2.Moreover two vehciles have kinetic energy equal to 2*1/2*m*v^2 which is dissipated in form of jerk F.dt in very infinitesmall time.If velocity is reduced to v/2 the kinetic energy is reduced to 1/4 of the earlier values.