Question

A soccer player is running at a constant speed of 1.8 m/s when she speeds up in the same direction with an acceleration of 0.50 m/s². What will be her final speed if she accelerates for a total distance of 10.0 meters?

1) 2.3 m/s
2) 3.6 m/s
3) 5 m/s
4) 6.8 m/s

Answer 1

The soccer player's final speed will be approximately 3.64 m/s, which is closest to option 2) 3.6 m/s.

Step-by-step explanation:

To find the final speed of the soccer player, we can use the equation:

v^2 = u^2 + 2as

Where:

• v is the final speed
• u is the initial speed
• a is the acceleration
• s is the distance

Given that the initial speed (u) is 1.8 m/s, the acceleration (a) is 0.50 m/s², and the distance (s) is 10.0 meters, we can plug these values into the equation:

v^2 = (1.8 m/s)^2 + 2(0.50 m/s²)(10.0 m)

Simplifying, we get:

v^2 = 3.24 m²/s² + 10.0 m²/s²

v^2 = 13.24 m²/s²

Taking the square root of both sides, we find:

v ≈ 3.64 m/s

Therefore, the soccer player's final speed will be approximately 3.64 m/s, which is closest to option 2) 3.6 m/s.