Final answer:
Using the kinematic equation, the maximum height reached by a maroon helmet after being hit at a speed of 2 m/s is approximately 0.204 meters above its starting point, which does not match any of the provided multiple-choice options.
Step-by-step explanation:
To find the maximum height the maroon helmet reaches after being hit with a speed of 2 m/s by Lance Duran, we can use the equation for the conservation of energy or kinematic equations. Since no numbers are provided for gravitational potential energy or kinetic energy, let's use the kinematic approach:
We start with the kinematic equation:
vf^2 = vi^2 + 2a(xf - xi)
Where vf is the final velocity, vi is the initial velocity, a is acceleration (the acceleration due to gravity, which is -9.81 m/s^2), and xf - xi is the displacement (the maximum height reached above the starting point).
At the maximum height, the final velocity vf will be 0 m/s, so the equation simplifies to:
0 = (2 m/s)^2 + 2(-9.81 m/s^2)(h)
Solving for h, we get:
h = (2 m/s)^2 / (2 * 9.81 m/s^2)
h = 4 m^2/s^2 / 19.62 m/s^2
h ≈ 0.204 m
Thus, the helmet reaches a maximum height of approximately 0.204 meters above its starting point. None of the options (A, B, C, D) provided in the question match this answer, indicating that there may have been a misunderstanding in the question or the options provided.