Question

kayla is measuring how long it takes a ball to roll down a hill. the ball has a starting velocity of 2.6 m/s. the ball rolls down the hill for 5.5 seconds, and when it reaches the bottom, it has a velocity of 8.0 m/s. how far did the ball roll during this time frame? 1.4 meters 44 meters 68 meters 29 meters

Explanation:

Step1: Calculate the average velocity

The formula for average velocity \(v_{avg}=\frac{v_{i} + v_{f}}{2}\), where \(v_{i}\) is the initial velocity and \(v_{f}\) is the final velocity.
Given \(v_{i}=2.6\ m/s\) and \(v_{f}=8.0\ m/s\), then \(v_{avg}=\frac{2.6 + 8.0}{2}=\frac{10.6}{2}=5.3\ m/s\)

Step2: Calculate the distance

The formula for distance \(d = v_{avg}\times t\), where \(t\) is the time.
Given \(t = 5.5\ s\) and \(v_{avg}=5.3\ m/s\), then \(d=5.3\times5.5 = 29.15\approx29\ m\)

Answer:

29 meters