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At a soccer practice, the players run sprints. They start at the goal run 10 m toward the center of the field and then run back to the goal. Then they run 20 m toward the center of the field and back to the goal. Finally they run 30 m toward the center of the field, turn around, and run back to the goal again. One player times herself to try and beat her personal best time . She runs the first 10 m in 2.5 s and gets back to the goal in 2.8 s. Then she runs the 20-m sprint in 5.7 s and gets back to the goal in 6.7 s. She runs the final 30-m sprint in 12 s and gets back to the goal in 15 s. What was her average velocity for the entire exercise? 2.5m/s 0m/s 3.0m/s 2.7m/s

Question

At a soccer practice, the players run sprints. They start at the goal run 10 m toward the
center of the field and then run back to the goal. Then they run 20 m toward the center
of the field and back to the goal. Finally they run 30 m toward the center of the field,
turn around, and run back to the goal again. One player times herself to try and beat
her personal best time . She runs the first 10 m in 2.5 s and gets back to the goal in 2.8
s. Then she runs the 20-m sprint in 5.7 s and gets back to the goal in 6.7 s. She runs
the final 30-m sprint in 12 s and gets back to the goal in 15 s. What was her average
velocity for the entire exercise?
2.5m/s
0m/s
3.0m/s
2.7m/s

At a soccer practice, the players run sprints. They start at the goal run 10 m toward the center of the field and then run back to the goal. Then they run 20 m toward the center of the field and back to the goal. Finally they run 30 m toward the center of the field, turn around, and run back to the goal again. One player times herself to try and beat her personal best time . She runs the first 10 m in 2.5 s and gets back to the goal in 2.8 s. Then she runs the 20-m sprint in 5.7 s and gets back to the goal in 6.7 s. She runs the final 30-m sprint in 12 s and gets back to the goal in 15 s. What was her average velocity for the entire exercise? 2.5m/s 0m/s 3.0m/s 2.7m/s

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FletcherProfessional · Tutor for 6 years

Answer

\(0 \, \text{m/s}\)

Explain

## Step1:<br />### The formula to calculate average velocity is given by:<br />### **Average velocity = total displacement / total time taken**<br /><br />## Step2:<br />Determine the total displacement. Since the player returns to the starting point (the goal) after each sprint, the total displacement is \(0\) m.<br /><br />## Step3:<br />Calculate the total time taken for all sprints. <br />- First sprint: \(2.5\) s to run \(10\) m + \(2.8\) s to return = \(5.3\) s<br />- Second sprint: \(5.7\) s to run \(20\) m + \(6.7\) s to return = \(12.4\) s<br />- Third sprint: \(12\) s to run \(30\) m + \(15\) s to return = \(27\) s<br /><br />Total time taken = \(5.3\) s + \(12.4\) s + \(27\) s = \(44.7\) s<br /><br />## Step4:<br />Substitute the values into the formula:<br />### **Average velocity = 0 m / 44.7 s**<br /><br />## Step5:<br />Calculate the average velocity:<br />### **Average velocity = 0 m/s**
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