What is the maximum distance we can shoot a dart, provided our toy dart gun gives a maximum initial velocity of 5.80 m/s? the answer is 1.16m i just dont know !

3.43 m

Explanation:

For maximum distance that is maximum range of a projectile, the angle of projectile should be 45°.

The formula for range is:

where, u is the initial velocity, θ is the angle of projectile and g is the acceleration due to gravity.

Substitute the values, u = 5.80 m/s, θ = 45° and g = 9.81 m/s²

force is mass*acceleration.

we have a very small mass: 11.4*0.001 kg

if we want 0.035n of force, we need an acceleration:

0.035 = 11.4*0.001*a

a = 0.035/(11.4*0.001) m/s^2