Final answer:
The maximum distance that a dart can be shot from a toy dart gun is 0 meters.
Step-by-step explanation:
The maximum distance that a dart can be shot from a toy dart gun can be found by using the equations of projectile motion. Neglecting air resistance, the range of a projectile can be calculated using the formula:
range = (initial velocity)^2 * sin(2θ) / g
In this case, the maximum initial velocity of the dart gun is given as 3.16 m/s. Assuming that we are shooting the dart horizontally (θ = 0°), the range can be calculated as:
range = (3.16 m/s)^2 * sin(0°) / 9.8 m/s^2
range = 0 m
Therefore, the maximum distance that the dart can be shot is 0 meters.