If a bow with a draw weight of 60 kilograms were to fire at someone 5 meters away but the user had to roll first before drawing back and firing two arrows. Would the target have enough time to dive for cover behind a rock?
To determine if the target would have enough time to dive for cover behind a rock, we need to calculate the time it takes for the arrows to reach the target.
1. First, let's calculate the initial velocity of the arrows using the draw weight of the bow. Bow draw weight is typically measured in pounds, not kilograms, so we need to convert 60 kilograms to pounds. 1 kilogram is approximately 2.20462 pounds, so 60 kilograms is equal to 60 * 2.20462 = 132.2772 pounds.
2. Next, we need to calculate the velocity. The relationship between draw weight and velocity is not linear, as it depends on several factors such as bow efficiency and arrow weight. Let's assume an average draw efficiency for now. A commonly used formula to estimate arrow velocity is V = √(2 * W / m), where V is the velocity, W is the draw weight in pounds, and m is the effective mass of the arrow (including arrow weight and parts).
3. We also need to consider the distance the arrows need to cover. Given that the target is 5 meters away, we will use this as the distance.
4. Calculate the time it takes for the arrows to reach the target. Time can be calculated using the formula t = d / V, where t is the time, d is the distance, and V is the velocity. In this case, we have two arrows, so we need to calculate the time for each arrow separately.
5. Finally, we can compare the time it takes for the arrows to reach the target with the time it takes for the target to dive behind a rock to determine if the target would make it in time.
Keep in mind that this calculation assumes ideal conditions and certain simplifications. Realistic factors like air resistance, bow efficiency, and arrow performance may affect the accuracy of the calculation.