Answer:
1.69515 seconds
Explanation:
t = Time taken
u = Initial velocity
v = Final velocity
s = Displacement
a = Acceleration
[tex]v^2-u^2=2as\\\Rightarrow s=\frac{v^2-u^2}{2a}\\\Rightarrow s=\frac{0^2-33^2}{2\times -8.5}\\\Rightarrow s=64.06\ m[/tex]
The distance between the traffic and the car after braking is 120-64.06 = 55.94 m
Time = Distance / Speed
[tex]\text{Time}=\frac{55.94}{33}\\\Rightarrow \text{Time}=1.69515\ seconds[/tex]
The reaction time cannot be more than 1.69515 seconds
