A car travelling along a straight line with velocity 360 km/hr can be stopped in distance of 16 m by applying brakes.What would be the stopping distance if its initial velocity is 180 km/hr?
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u = 360km/hr = 100m/s
v = 0m/s
s = 16m
By using equation,
v²=u²+2as
0 = 100²+2a×16
0 = 10000 +32a
-10000 = 32a
a = -10000/32 = -312.5m/s²
Now, In second case,
u = 180km/hr =50m/s
v = 0m/s
a = -312.5m/s² {found earlier}
By using equation,
v²=u²+2as
0 = 50² +2×(-312.5)s
0 = 2500-625s
-2500 = -625s
s = -2500/-625 = 4m
It's stopping distance will be 4m
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