What is the graph obtained when a body is thrown in upward direction with velocity on y-axis and position of body on x-axis? Also,can you please explain how it is obtained?
1 Answer
Parabola
Explanation:
When a body is thrown upward,it moves upward first because of the imparted velocity to it,but gravity opposes this motion and it comes to rest after attaining certain height and then starts falling back to the ground due to gravity!
Now,when it is going up, it is having negative acceleration upwards better say as deceleration upwards and that is constant!
So,we can write,
so,
or,
So,this is the equation which establishes the relationship between velocity and position in this case.
From the equation,we can see
And,it looks like as follows-
graph{y^2=400-19.6x [-80, 80, -40, 40]}
Consider the part in
Veocity is shown along
So,you can see if you go from left to right of the curve i.e with increasing height,velocity starts from
Then it falls down which you can get by back tracing the curve i.e velocity increases from