Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Diego kicks a soccer ball from the end line. His fellow students time and mark the soccer ball as it moves down the field. The graph represents the ball's progress.

Based on the graph, during what time is the soccer ball not moving?

A) from 0 to 1.5 seconds

B) from 3.0 to 4.5 seconds

C) from 4.5 to 5.0 seconds

D) from 1.5 to 3.0 seconds

Answer 1

C) from 4.5 to 5.0 seconds

Step-by-step explanation:

The graph shows the distance of the ball from the initial point (y-axis) against the time (x-axis).

In such graph, the speed of the ball corresponds to the slope of the curve, since it is equal to the ratio between the distance travelled (increment in the y-axis) and time taken (increment in the x-axis):

`v=(\Delta y)/(\Delta x)=(d)/(t)`

Therefore, we can say that the object is moving when the slope of the curve is not zero: when the slope of the curve is zero, instead, the object is at rest.

From the graph, we observe that between t=4.5 s and t=5.0 s the slope of the curve is zero, because the curve is horizontal. This means that the speed is zero, so the object is not moving.