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Q.

Two cars left place A simultaneously and reached the place B in 2 hrs. The first car travelled half the distance with a speed of 30km/hr and the other half at a speed of 45km/hr . The second car at the same time covered the entire distance with a constant acceleration starting from rest. Find the acceleration of the second car.

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a

36km/hr2

b

144km/hr2

c

72km/hr2

d

18km/hr2

answer is A.

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Detailed Solution

for both cars time is same

For car A :

t=2hrs

vavg=2v1v2v1+v2

v1=30kmph

v2=45kmph

=2×30×4530+45

=90×3075

=9×10025=36kmph

s=vavg×t=36×2=72km

For car B :

u=0,s=72km, t=2hr, a=?

s=u+12at2

72=(0)(2)+12(a)(2)2

72=0+2a                             

            2a=72

            a=36km/hr2

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