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Q.

A car enters a curved road in the form of a quarter of a circle, the path length being 200 metre .Its speed at the entrance is 18 kmh-1 but when it leaves, it increases to 54 kmh-1. If the car is travelling with constant acceleration along the curve, the acceleration when the car leaves the curved road is

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a

0.9 ms-2

b

0.45 ms-2

c

1.9 ms-2

d

3.68 ms-2

answer is C.

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Detailed Solution

aT=v2−u22ℓ=(15)2−(5)22(200)=0.5ms−2aC=vfinal r=(15)2400π ∵l=2πr4=200⇒aC=1.8ms−2⇒a=(1.8)2+(0.5)2⇒a=1.9ms−2
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