Answer:
C) Acceleration 1 - constant acceleration. Acceleration 2 - varied acceleration.
Explanation:
In a velocity-time graph, the acceleration corresponds to the slope of the curve.
In fact, acceleration is defined as the ratio between the change in velocity and the time interval:
[tex]a=\frac{\Delta v}{\Delta t}[/tex]
However, we see that in a velocity-time graph, [tex]\Delta v[/tex] corresponds to the increment in the y-variable ([tex]\Delta y[/tex]), while [tex]\Delta t[/tex] corresponds to the increment in the x-variable ([tex]\Delta x[/tex]). Therefore, acceleration can also be written as
[tex]a=\frac{\Delta y}{\Delta x}[/tex]
which is exactly the definition of slope of the curve.
Now we notice that:
- For object 1, the slope is constant: this means that the acceleration is constant
- For object 2, the slope varies: this means that the acceleration varies as well
