Question

The accompanying graph of position $x$ versus time represents the motion of a particle. If $p$ and $q$ are positive constants, the expression that best describes acceleration $a$ of the particle is

• A. $a=-p-qt$
• B. $a=-p+qt$
• C. $a=p+qt$
• D. $a=p-qt$

Answer 1

The correct option is D $a=p-qt$

Initially $a$ is positive and later it becomes negative. As time grow it decreases and later becomes negative. So $a=p-qt$ describes it best.