A 2800 kg car has 4 springs fitted into the front bumper, each with a spring constant k=10^5 n/m. The car slidess on an icy road and collides at 3m/s with a heavy tree and stops.
The maximum acceleration felt by the seat-belted driver in terms of acceleration due to the earth's g is 3.6g
What is the time of impact during the collision?
Please show all work.