A) \[\sqrt{{{\left( b+c \right)}^{2}}+{{a}^{2}}}\]
B) \[c-\left( a+b \right)\cos \theta \]
C) \[\sqrt{{{\left( b+c \right)}^{2}}+{{c}^{2}}-2\left( b+c \right).c.\cos \theta }\]
D) \[\sqrt{{{\left( b+c \right)}^{2}}+{{c}^{2}}+2\left( b+c \right).c.\cos \theta }\]
Correct Answer: C
Solution :
[c] \[a=b+c\] Net acceleration of A \[=\sqrt{{{a}^{2}}+{{c}^{2}}+2ac\cos \left( \pi -\theta \right)}\] \[=\sqrt{{{\left( b+c \right)}^{2}}+{{c}^{2}}-2\left( b+c \right)c.\cos \theta }\]
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