MATH SOLVE

9 months ago

Q:
# Suppose the initial position of an object is zero, and the object moves with constant acceleration. Which part of a velocity vs. time graph can be used to calculate the displacement of the object?the area of the rectangle under the linethe area of the rectangle above the linethe area of the rectangle plus the area of the triangle under the linethe area of the rectangle plus the area of the triangle above the line

Accepted Solution

A:

If acceleration is constant (and apparently positive), then velocity increases linearly, so the graph of velocity with respect to time is a line with positive slope. The region between this line and the horizontal axis would then be a triangle or a trapezoid, depending on the object's velocity at the start (which we don't necessarily know). To get the object's displacement, one would have to integrate the velocity, which in terms of the graph corresponds to the area of this triangle/trapezoid.

But the given options are quite vague... We can rule out the first two, since they seem to use "line" to refer to a constant function with 0 slope, which we know is not the case with the velocity graph in this situation.

The other two options are ambiguous as well, but it seems like the third is the right one.

But the given options are quite vague... We can rule out the first two, since they seem to use "line" to refer to a constant function with 0 slope, which we know is not the case with the velocity graph in this situation.

The other two options are ambiguous as well, but it seems like the third is the right one.