How can you determine an object's average velocity from a position time graph
1 answer:
The average velocity can be calculated from the slope of the graph
Explanation:
In a position-time graph, the position is represented on the y-axis while the time is represented on the x-axis.
The slope of the graph is given by:
where
is the change in the y-variable
is the change in the x-variable
However, we have:
corresponds to the change in position, therefore it is the displacement
corresponds to the change in time
This means that the slope can be rewritten as
However, this ratio corresponds to the definition of average velocity:
Therefore, the slope of a position-time graph gives the average velocity.
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Answer:
, where the minus indicates the direction is opposite to that of the throw.
Explanation:
a)
Since MKS stands for meter-kilogram-second and we know that:
We can write that:
These are conversion factors, equal to 1, so multiplying our results by them won't change their value, only their units.
So we have that:
b)
Newton's 2nd Law tells us that F=ma, and the definition of acceleration is , so we have:
Taking the throw direction as the positive one, for our values we have: