A person wearing a shoulder harness can survive a car crash if the acceleration is smaller than - 300 m/s. assuming constant acceleration how far must the front end of the car collapse if 2 it crashes while going 101 km/hr?

To solve this problem, we use the equation:

d = (v^2 - v0^2) / 2a

where,

d = distance of collapse

v0 = initial velocity = 101 km / h = 28.06 m / s

v = final velocity = 0

a = acceleration = - 300 m / s^2

d = (-28.06 m / s) ^2 / (2 * - 300 m / s^2)

d = 1.31 m