Question

what is the maximum distance we can shoot a dart, from ground level, provided our toy dart gun gives a maximum initial velocity of 3.16 m/s and air resistance is negligible?

Answer 1

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.