When you use a graph to solve a problem about how far a car traveled during a specified time during which it was accelerating how many area calculations do you have to make?

Answer 1

To calculate the distance traveled from a velocity-time graph, you need to calculate the area under the graph. The number of calculations you need to make, and the shapes you divide the area into will depend on the shape of the curve.

The skinnier you make the slices, and the more area measurements you make,

the more accurate your answer will be.

In the kind of math called "calculus", there's a way to work that problem as if the

width of the slices was zero and there was an infinite number of them, so that the answer comes out exactly right. It's called "integration."

Answer 2

To find the distance traveled during a time interval when the car is accelerating using a graph, you would need to calculate the area under the acceleration vs. time graph. This would involve making one area calculation under the curve representing the acceleration function - this area represents the change in velocity. You would then need to calculate the area under the velocity vs. time graph (which is the area under the curve of the acceleration function) to find the total distance traveled during the specified time period.