Final answer:
Using the kinematic equation for motion under gravity, Jar Jar Binks reaches a maximum height of approximately 2.15 meters when thrown into the air with an initial velocity of 6.5 m/s.
Step-by-step explanation:
The height to which Jar Jar Binks ascends when thrown into the air at 6.5 m/s can be determined using the principles of kinematics, specifically the equations of motion under the influence of gravity. When the upwards velocity of an object equals zero, it has reached its maximum height. Using the equation v^2 = u^2 + 2as, where 'v' is the final velocity (0 m/s at the highest point), 'u' is the initial velocity (6.5 m/s), 'a' is the acceleration (due to gravity, which is -9.81 m/s^2), and 's' is the displacement or height, we can solve for 's'.
With these values, the equation becomes:
0 = (6.5 m/s)^2 + 2*(-9.81 m/s^2)*s
After rearranging and solving for 's', the result is:
s = (6.5 m/s)^2 / (2 * 9.81 m/s^2)
s = 42.25 / 19.62
s ≈ 2.15 m
Therefore, Jar Jar Binks would reach a maximum height of approximately 2.15 meters, which corresponds to option 'a). 2.11 m' if we consider significant figures and rounding.