Question

The graph shows the speed of a ball in free fall for 10 seconds. Which is the constant of proportionality shown in the graph?

Answer 1

Given:

The graph shows the speed of a ball in free fall for 10 seconds.

We need to determine the constant of proportionality for the given graph.

Constant of proportionality:

The constant of proportionality can be determined using the formula,

$\frac{y}{x}=k$

Where k is the constant of proportionality.

Let us consider any of the coordinate from the graph and substitute in the formula.

Consider the coordinate (4,40) and substitute in the above formula.

Thus, we have;

$\frac{40}{4}=k$

$10=k$

Thus, the constant of proportionality is 10 meters per second squared.