Question

The range r of a projectile fired with an initial velocity:

a) Depends only on the initial velocity.
b) Depends on the initial velocity and launch angle.
c) Depends on the gravitational acceleration.
d) Depends on the air resistance.

Answer 1

The range of a projectile depends on the initial velocity, launch angle, gravitational acceleration, and air resistance. On the Moon, where gravity is weaker, the range of a projectile would be greater. The range formula for a projectile on level ground, neglecting air resistance, is given by: R = (v^2 * sin(2θ)) / g.

Step-by-step explanation:

The range of a projectile depends on both the initial velocity and launch angle. A greater initial velocity will result in a greater range, as shown in Figure 3.41(a). Additionally, the initial angle also affects the range. For a fixed initial velocity, the maximum range is obtained at an angle of 45 degrees, neglecting air resistance. However, if air resistance is considered, the maximum angle is approximately 38 degrees.

The range of a projectile also depends on the value of gravitational acceleration. On the Moon, where gravity is weaker, the range of a projectile would be greater. The range formula for a projectile on level ground, neglecting air resistance, is given by: R = (v^2 * sin(2θ)) / g.