An 3000-kh car traveling at 70 m/s takes 8 m to stop under full braking. The same car under similar road conditions, traveling at 140 m/s, takes

2 answers

so we are looking for the force of braking (ie, the max deacceleration allowed).

vf=vi+at
vf-vi=at
Force=mass*acceleration, so
acceleration=frictionforce/mass=mass*9.8N/kg*coefficentfriction/mass=9.8*coefficent

so if deacceleration is constant, regardless of speed.
and you Double (70 to 140) the change in speed, then time must be doubled (to 16seconds)
the braking force dissipates the kinetic energy of the vehicle

if the velocity of the vehicle is doubled , the KE is quadrupled ... KE = 1/2 m v^2
... so the brakes must dissipate four times the energy

if the braking force is constant , it takes four times as long to stop