Area under a graph problem

Question

anonymous · Answer

Where is the problem?

anonymous · Answer

1 second haha

anonymous · Answer

just draw rectangles below the curve, find the areas of those rectangles, and add them up!

a_clan · Answer

integrate over the extremes

anonymous · Answer

Taking a photo of the graph now, 1 second

anonymous · Answer

If it's not a complicated graph, you can just give us the equation and the upper and lower limits etc.

anonymous · Answer

The graph shows the acceleration (rate of change of velocity) of a bullet as it is fired from the barrel of a rifle. Use the graph to calculate the speed at which it leaves the rifle (the muzzle velocity)

anonymous · Answer

It's the area of that half-ellipse.$$A_{ellipse}=\frac{1}{2}*\pi * x*y$$where x is 5s and y is 60000 ms^-2 (if I am reading it correctly)

anonymous · Answer

Oh okay cool, I'll give that a go

anonymous · Answer

or actually, where x is 2.5s and y is 60000

anonymous · Answer

that is one powerful rifle.

kira_yamato · Answer

For me I'll use integrals (definite)

a_clan · Answer

If we do not have the equation of curve or we do not know exactly if the figure is a standard curve(i.e. ellipse here), Then the area under curve should be calculated by adding all the full squares, on graph paper  under curve, with partial-squares as triangles. We only get approximate answer with this method.