Question

question 18 of 25 which of the following shows the shape of a position - time graph for an object with constant acceleration? a b c d position (m) time (s) position (m) time (s) position (m) time (s) position (m) time (s) a. a b. d c. c d. b

Explanation:

The position - time relationship for an object with constant acceleration is given by the equation $x = x_0+v_0t+\frac{1}{2}at^{2}$, which is a quadratic equation of the form $y = Ax^{2}+Bx + C$ (where $y$ is position $x$, $x$ is time $t$, $A=\frac{1}{2}a$, $B = v_0$, $C=x_0$). The graph of a quadratic function is a parabola. Graph C shows a parabolic shape.

Answer:

C. C