Question

Refer to distance $\left(x\right)-$ time $\left(t\right)$ graph. Which of the following is correct?

• A. At $D$, velocity is positive.
• B. At $F$, motion is in the $-x$ direction.
• C. At $C$, velocity is $+ve$
• D. All of the above

Answer 1

Answer: (B), (C)

The correct options are
B At $F$, motion is in the $-x$ direction.
C At $C$, velocity is $+ve$

We know that the slope of the $x-t$ graph represents velocity and the slope of tangent at $D$ is zero so velocity at point $D$ is $0$.
At point $C$, slope is positive due to which velocity is also positive.
At point $F$, slope is negative due to which velocity is also negative which means that the direction of motion is now in $-x$ direction.