Answer:
D.Acceleration
Explanation:
The acceleration of an object is defined as:
where
vf is the final velocity of the object
vi is the initial velocity of the object
is the time taken for the change in velocity to occur
Therefore, from the formula, we see that if we divide (vf - vi) by △t, we get the acceleration.
The graphs of the acceleration as a function of mass and of the acceleration as a function of force are in attachment.
Explanation:
To answer both parts of the question, we refer to Newton's second law, which states that:
where
F is the net force on an object
m is the mass of the object
a is its acceleration
a)
To answer this part, we re-arrange the previous equation as follows:
Therefore, we notice that if a constant force is applied, the acceleration is inversely proportional to the mass of the object:
this means that if the mass increases, the acceleration decreases, and if the mass decreases, the acceleration increases.
In a graph of acceleration vs mass, the curve representing this relationship would be a hyperbole. The graph is shown as the first graph in the attached picture.
b)
As before, we re-arrange the previous equation as follows:
Here we notice that if the object has a constant mass, the acceleration is directly proportional to the force applied on the object:
this means that when the force increases, the acceleration increases, and when the force decreases, the acceleration decreases.
In a graph of acceleration vs force, the curve representing this relationship would be a straight line, as shown in the second graph in the attached picture.
Learn more about Newton's second law of motion here:
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