(Solved): A company is testing the effectiveness of new crash barriers for use at a race track. The relation ...

A company is testing the effectiveness of new crash barriers for use at a race track. The relationship between the force exerted on the car and barrier deflection is given as shown in the diagram, where \( \mathrm{x} \) is the barrier deflection distance in \( \mathrm{m} \). Determine how far the barrier will deflect to completely stop a car of mass \( m=2500 \mathrm{~kg} \) from im velocity of \( \mathrm{v}=20 \mathrm{~m} / \mathrm{s} \) Provide your answer in metres correct to 2 decimal places.