Stopping distance of vehicles : When brakes are applied to a moving vehicle, the distance it travels before stopping is called stopping distance. It is an important factor for road safety and depends on the initial velocity (
v
0
) and the braking capacity, or deceleration, ?a that is caused by the braking. A car travelling at speed 72km/hr suddenly applies the brake with the deceleration of 5m/s2. Find the stopping distance of the car??
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Answer:
Velocity of moving vehicle=v
0
and decceleration =a
Final velocity of the vehicale =0 (As it stops)
Let the stopping distance be s
Then applying the third equation of motion we have:
v
2
=v
0
2
+2(−a)s
⇒0=v
0
2
−2as
⇒s=
2a
v
0
2
→ Expression for stopping distance.
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