(c) Acceleration of insect with respect to car ${\overrightarrow{\mathbf{a}}}_{sc}$ is $a$ in the direction shown in figure. Absolute acceleration of insect is
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${\overrightarrow{\mathbf{a}}}_{s} = {\overrightarrow{\mathbf{a}}}_{sc} + {\overrightarrow{\mathbf{a}}}_{c}$
Component of ${\overrightarrow{\mathbf{a}}}_{s}$ along horizontal is $a_{0} - {a\ cos}\theta$ and perpendicular to screen is $a_{0}\sin\theta$