Prateek Kumar Jain said:
What do you mean of the "gradient" of the graph? Your graph must mean the range ##R## versus the initial velocity ##v,## and in this single-variable function, the gradient is just the slope.James Adfey said:
ok yeah I just meant the slope when I said gradient, and was wondering if there were any graphs where the slope is equal to the range, but if not I will just do a graph that shows the range vs initial velocity,tommyxu3 said:
If you knew the result ##R=\frac{v^2\sin 2\theta}{g},## then you can easily get the slope ##R'(v)=\frac{2v\sin 2\theta}{g}## and can get what point meets your demand, which, however, the condition seems not meaningful... or?James Adfey said:
ok yeah that makes sense, thankstommyxu3 said:
To find the range of a projectile from a graph, you must identify the point where the projectile lands on the x-axis. This point represents the distance traveled by the projectile and is the range.
To calculate the range of a projectile from a graph, you need to know the initial height and velocity of the projectile, as well as the angle at which it was launched. You also need to identify the point where the projectile lands on the x-axis.
Yes, you can use any type of graph as long as it shows the trajectory of the projectile. This could include a position-time graph, a velocity-time graph, or a displacement-time graph.
Yes, the formula for finding the range of a projectile from a graph is: Range = (initial velocity * time) * cos(angle). This formula takes into account the horizontal displacement of the projectile as well as the angle at which it was launched.
Yes, you can estimate the range of a projectile from a graph by measuring the distance between the point where the projectile lands on the x-axis and the point where it was launched. However, using the formula will provide a more accurate calculation.