Answer:
To determine the kind of pitch and amount of draw back needed to make the desired distance, we need to consider the projectile motion of the object.
Given that you have an elastic rubber gunfire tied to the base of two trees, the motion of the object can be modeled as a projectile launched at an angle.
To calculate the required angle and draw back, we can use the equations of projectile motion and consider the initial velocity, gravitational acceleration, and horizontal and vertical components of motion.
Let's break down the problem into steps:
Step 1: Convert the given measurements to consistent units:
Convert 350 yards to feet: 350 yards * 3 feet/yard = 1050 feet.
Step 2: Determine the required initial velocity:
To reach the desired horizontal distance, the initial velocity needs to be sufficient. We can use the range formula for projectile motion:
Range = (initial velocity^2 * sin(2θ)) / g,
where θ is the launch angle and g is the gravitational acceleration.
Since the object needs to land 1050 feet away and the fence is 40 feet in front, the required horizontal distance is 1050 - 40 = 1010 feet.
Solving the range equation for the initial velocity, we have:
initial velocity = √((Range * g) / sin(2θ)).
Step 3: Determine the launch angle and draw back:
Given that you are using an elastic rubber gunfire tied to the base of two trees, the launch angle and draw back depend on the specific properties of the device and the setup. It's difficult to provide an exact angle and draw back without detailed knowledge of the device's characteristics.
However, you can experiment by adjusting the angle and draw back to achieve the desired horizontal distance. Start with an initial angle (e.g., 45 degrees) and adjust the draw back until the object consistently reaches the target distance of 1010 feet.
Note that factors such as air resistance and other external influences may affect the actual trajectory, so it might require some trial and error to fine-tune the angle and draw back for accurate results.
Remember to prioritize safety when conducting any kind of projectile-based experiment and ensure there are no potential hazards or risks to yourself or others.
Step-by-step explanation: