Question

a student records the motion of a ball across a field using a distance - time graph. before they turn in the graph, they must calculate the average speed of the balls motion. which of the following correctly identifies the average speed of the ball? a 5 ft./sec b 10 ft./sec c 50 ft./sec

Explanation:

Step1: Recall formula for speed

Speed is calculated as \( \text{Speed} = \frac{\text{Distance}}{\text{Time}} \).

Step2: Identify distance and time from graph

From the distance - time graph, when time \( t = 2 \) seconds, the distance \( d = 10 \) feet (we can also use other points, but this is a clear one).

Step3: Calculate speed

Using the formula \( \text{Speed}=\frac{d}{t} \), substitute \( d = 10 \) feet and \( t = 2 \) seconds. So \( \text{Speed}=\frac{10}{2}=5 \) ft/sec.

Answer:

A. 5 ft./sec