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
Answer
4.1
(194 Votes)
Fletcher
Professional · Tutor for 6 years
Answer
Explanation
## Step1:### The formula to calculate average velocity is given by:### **Average velocity = total displacement / total time taken**## Step2:Determine the total displacement. Since the player returns to the starting point (the goal) after each sprint, the total displacement is
m.## Step3:Calculate the total time taken for all sprints. - First sprint:
s to run
m +
s to return =
s- Second sprint:
s to run
m +
s to return =
s- Third sprint:
s to run
m +
s to return =
sTotal time taken =
s +
s +
s =
s## Step4:Substitute the values into the formula:### **Average velocity = 0 m / 44.7 s**## Step5:Calculate the average velocity:### **Average velocity = 0 m/s**