Question

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 why?!!!? help please!

Answer 1

The formula for the distance is v^2*sin(2alfa)/2g. To get your object as far as you can, you need to shoot it at angular of 45 degree (because of sin(2*45)=1). So, D=(5.8^2*1)/(2*10)=1.628 meters.

Answer 2

Answer:

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:

$R = \frac{u^2 sin 2\theta}{g}$

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

$R = \frac{5.80^2\times sin 90^o}{9.81} = 3.43 m$