Magnitude of acceleration

Question

A car traveling at 95 km/h strikes a tree. The front end of the car compresses and the driver comes to rest after traveling 0.80 m. What was the magnitude of the average acceleration of the driver during the collision? Express the answer in terms of “g’s,” where 1.00 g = 9.80 m/s2.

Answer 1

v₀ = 95 km/h = 95·1000m/3600s = 26.39 m/s;

0 - v₀² = 2as; a = - v₀²/(2s) = - 26.39²/1.6 = - 435.23 m/s² = - 44.41g