When stopping, the bus traveled half the braking distance in the last second.

When stopping, the bus traveled half the braking distance in the last second. what is the total braking time of the bus?

Data: t1 (braking time in the second half of the braking distance) = 1 s.

1) Let’s use the reverse method (we believe that the bus did not slow down, but accelerated accelerated):

a) The first half of the journey: S / 2 = a * t1 ^ 2/2 and S = a * t1 ^ 2;

b) General path: S = a * t2 ^ 2/2.

2) Let’s compose and solve the resulting equality: a * t1 ^ 2 = a * t2 ^ 2/2.

2t1 ^ 2 = t2 ^ 2.

2 * 12 = t2 ^ 2.

t2 = √2 = 1.414 s.

Answer: The total braking time of a given bus is 1.414 s.