Question

The position of an object traveling along the x axis is plotted on the graph. Which of the following statements is true of the object's acceleration?(a) The acceleration is increasing.(b) The acceleration is decreasing.(c) The acceleration is constant but not zero.(d) The acceleration is zero.

Answer 1

The curve shows that the position is directly proportional to time. Therefore,

$\begin{gathered} x\propto t \\ x=ct \end{gathered}$

Here, c is a constant.

The velocity of the object is given as,

$v=\frac{dx}{\differentialDt t}$