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As per the given question ,
Let the initial velocity of the particle be u and the acceleration of the particle be a
distance covered by the car = 12 m
time taken = 3 sec
As per the 3 equation of motion ,
s 1 = u t 1+ a t1²/2
12 = 3 u + a 9 /2
12 = 3 u + 4.5 a ...(1)
total distance covered by the body
= S 1 + S 2
= 12 m + 30 m
= 42 m
total time taken
= t 1 + t 2
= 3 + 3
= 6sec
S = u t + 1/2 a t ²
42 = 6u + a 36 / 2
42 = 6 u + 18 a . ..(2)
Multiplying equation (1) by 2
24 = 6 u + 9 a ....(3)
Subtracting eq (3) from (2)
(42-24) = (6u - 6u )+(18 a - 9 a )
18 = 9 a
a = 18 / 9
a = 2 m / s ²
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