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

Question

The accompanying graph of position x versus time t represents the motion of a particle. If p and q are both positive constants, the expression that best describes the acceleration a of the particle is (A) a=-p-q t (B) a=-p+q t (C) a=p+q t (D) a=p-q t

Tardigrade Admin · Accepted Answer

We have following observations from position x versus time t graph.

From above graph we can draw following velocity v versus time t graph.

So, acceleration of given particle is initially positive but with time it becomes negative. Hence, a=p-q t is best suited option.

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

$a = - p - qt$

$a = - p + qt$

$a = p + qt$

$a = p - qt$

We have following observations from position $x$ versus time $t$ graph.

From above graph we can draw following velocity $v$ versus time $t$ graph.

So, acceleration of given particle is initially positive but with time it becomes negative.
Hence, $a = p - qt$ is best suited option.

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

a=−p−qt

a=−p+qt

a=p+qt

a=p−qt