Question

Which statements are true regarding the data represented by the scatterplot of projectile motion? Check all that apply. A) The data shows an exponential relationship. B) The data shows a quadratic relationship. C)The data shows a linear relationship. D) The height will increase over time at a constant rate of change. The change in height compared to the change in time is not constant.

Answer 1

We have been given a scatter plot of a projectile motion and we have been asked to choose the correct statements out of the given statements. Let us analyze of the given options one by one and thus we can conclude which ones are correct and which ones are incorrect.

(A) The shape of the scatter plot does not look like the graph of an exponential function, therefore, this statement is not true.

(B) The shape of the given scatter plot does look like a quadratic graph, therefore, this statement is true.

(C) The shape of the given scatter plot does not look like a line, therefore, this statement is false.

(D) The height doesn't always change it the same rate. It initially increases at a rapid speed and then increases at a slow speed, at vertex it becomes constant and then starts to decrease. Therefore, this statement is false.

(E) Since height doesn't change at a constant rate, therefore, this statement is true as well.

The correct statements are (B) and (E).