Question

17 on the $a_x$ versus time graph, what quantity does the area under the graph represent? multiple choice the change in the x-component of the velocity. the total distance. the average speed. the x-component of the displacement.

Explanation:

Acceleration \( a_x \) is the rate of change of velocity (\( v_x \)), so \( a_x=\frac{\Delta v_x}{\Delta t} \), which rearranges to \( \Delta v_x = a_x\Delta t \). The area under an \( a_x \)-time graph is the integral (or sum, for discrete cases) of \( a_x \Delta t \), which equals the change in \( v_x \). Total distance, average speed, and displacement - related quantities don't match this relationship.

Answer:

The change in the x - component of the velocity.