The purpose of making this graph is to visualize the relationship between acceleration and the sine of the angle (theta) at which an object is moving. This can help in understanding the acceleration of an object in different directions and at different angles.
In this graph, acceleration is calculated by dividing the change in velocity by the change in time. This is represented by the slope of the curve on the graph. The steeper the slope, the higher the acceleration.
The sin of theta represents the angle at which an object is moving in relation to the horizontal axis. It can also be thought of as the vertical component of the velocity vector.
If the acceleration is constant, the graph will appear as a straight line with a constant slope. This indicates that the acceleration remains the same regardless of the angle at which the object is moving.
A concave up graph suggests that the acceleration is increasing as the angle increases, while a concave down graph suggests that the acceleration is decreasing. This can provide insight into the direction and magnitude of the acceleration in different orientations.