Question

question 5 (1 point) (02 04 lc) when you have an acceleration versus time graph, the a slope is the displacement of the object b slope is the change in velocity of the object c area under the curve is the displacement of the object d area under the curve is the change in velocity of the object

Explanation:

Acceleration is the rate of change of velocity. Mathematically, $a=\frac{\Delta v}{\Delta t}$. When we integrate acceleration with respect to time ($\int a\mathrm{d}t$), we get the change in velocity. On an acceleration - time graph, the area under the curve is given by the integral $\int a\mathrm{d}t$, which represents the change in velocity. The slope of an acceleration - time graph has no direct physical meaning related to displacement or change in velocity in the simple kinematic sense described in the options.

Answer:

d. area under the curve is the change in velocity of the object