Question

Mariana is doing agility drills on the practice field while preparing for soccer team tryouts. For a specific drill she runs 18 m forward, 28 m backward, 38 m forward, and 48 m backward. Mariana completes the drill in exactly 24 seconds. Determine her average velocity for the entire drill.

A) 2.4 m/s
B) 2.8 m/s
C) 3.0 m/s
D) 3.2 m/s

Answer 1

Mariana's average velocity for the entire drill is -0.83 m/s.

Step-by-step explanation:

To determine Mariana's average velocity, we need to calculate the total displacement and divide it by the total time. In this case, Mariana runs forward for a total distance of 18 m + 38 m = 56 m and runs backward for a total distance of 28 m + 48 m = 76 m. The total displacement is the difference between the forward distance and the backward distance, which is 56 m - 76 m = -20 m. Since Mariana returns to her starting point, the displacement is negative. The total time for the entire drill is 24 seconds.

To find the average velocity, we can divide the total displacement by the total time: -20 m / 24 s = -0.83 m/s. However, since velocity is a vector quantity, we need to consider its direction. In this case, the negative sign indicates that Mariana's average velocity is in the opposite direction of her forward motion. Therefore, the correct answer is -0.83 m/s.