Question

Given this graph plotting velocity versus time, estimate the acceleration of object A at points X and Y respectively.

Answer 1

A. 0 meters/second2 and -1 meter/second2 for plato people

Answer 2

Point X lies on a horizontal line. We can intuitively say that the slope of the graph at point X is 0, therefore the acceleration at point X is 0m/s²

Point Y lies on a downward slanting line. To calculate the slope of that line, let's apply this equation:

m = (y₂-y₁)/(x₂-x₁)

m = slope, (x₁, y₁) and (x₂, y₂) correspond to the coordinates of the line's endpoints.

Given values:

(x₁, y₁) = (7, 5)

(x₂, y₂) = (12, 0)

Plug in and solve for m:

m = (0 - 5)/(12 - 7)

m = -1

The acceleration at point Y is -1m/s²

Choice A