Answer:
Deceleration = [tex]\frac{v^2}{2a}[/tex] units/sec^2
Step-by-step explanation:
Given that a car is traveling at when the driver sees an accident m ahead and slams on the brakes.
i.e. if he is coming with speed v units/sec say, he has to make his velocity 0.
Distance travelled = m units
Initial velocity = v
Final velocity =0
Use the third formula as
[tex]v^2=u^2+2as\\0=v^2+2am\\a =\frac{-v^2}{2a}[/tex]
So he has to apply an acceleration of [tex]\frac{-v^2}{2a}[/tex] units/sec^2 to stop the car in time to avoid a pile up.
Deceleration = [tex]\frac{v^2}{2a}[/tex] units/sec^2
