Question

5) Assume this is an acceleration graph, where the X axis represents time in seconds and the Y axis represent velocity in m/s. Which statement BEST describes the acceleration represented by the graph?
A) There is no acceleration,

B) Acceleration is positive.

C) Acceleration is positive and constant

D) Acceleration is positive and increasing.​

Answer 1

Answer:

D) Acceleration is positive and increasing.​

Step-by-step explanation:

In formulae, acceleration is defined as the rate of change of velocity per unit time; for example:

$a=\frac{v}{t}$

where Δ V is the variation of velocity and Δ T is the variation in time.

The graph depicts the velocity of a moving item as a function of time. As we can see ΔV is the increment on the y-axis, while ΔT is the increment on the x axis: therefore, the ratio ΔV/ΔT is the curve's slope. In fact, the slope of the curve in a velocity-time graph corresponds to the object's acceleration. In this graph, we can see that the slope of the curve is growing, which means that the acceleration is positive (since the slope is positive and the velocity is increasing) and increasing (because the slope is increasing).