Q. A car is moving rectilinearly on a horizontal path with acceleration $a_{0}$. A person sitting inside the car observes that an insect $S$ is crawling up the screen with an acceleration $a$. If $\theta$ is the inclination of the screen with the horizontal the acceleration of the insect

A) Parallel to screen is $a + a_{0}\cos\theta$
B) Along the horizontal is $a_{0} - a\cos\theta$
C) Perpendicular to screen is $a_{0}\sin\theta$
D) Perpendicular to screen is $a_{0}\tan\theta$
Explanation

(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
[image:4_image112.jpeg]
${\overrightarrow{\mathbf{a}}}_{s} = {\overrightarrow{\mathbf{a}}}_{sc} + {\overrightarrow{\mathbf{a}}}_{c}$
Component of ${\overrightarrow{\mathbf{a}}}_{s}$ along horizontal is $a_{0} - {a\ cos}\theta$ and perpendicular to screen is $a_{0}\sin\theta$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.