A car is heading towards a brick wall at 80 km/hr, he starts breaking 30 feet away. What acceleration is required to avoid a collision?

2 answers

The car needs to decelerate at a rate "a" such that sqrt(2aX) = V

a = V^2/(2 X)

To get the answer in m/s^2, you first need to convert the speed V to m/s and the distance X to meters.

He needs to brake to avoid breaking. Note the spelling of those different words.
Vo=80,000m/h * (1/3600)h/s = 22.22m/s.

d = 30ft * (1/3.3)m/ft = 9.09m.

Vf^2 = Vo^2 + 2ad,
a = (Vf^2-Vo^2) / 2d,
a = (0-493.73) / 18.18 = - 27.2m/s^2.