Final answer:
In Physics, the horizontal range of a bullet fired at an angle of 37 degrees with an initial velocity of 200 m/s can be calculated by using the formula for projectile motion, taking into account the angle of projection and acceleration due to gravity. The angle is used to determine the sine of twice the angle, which is then used in the range formula to find the distance traveled horizontally.
Step-by-step explanation:
The subject of this question is Physics, specifically dealing with the topic of projectile motion. To calculate the horizontal range of a bullet fired with an initial velocity at an angle, we use the following formula:
R = (v_i^2 ∙ sin(2∙θ)) / g
Where R is the horizontal range, v_i is the initial velocity, θ is the angle of projection, and g is the acceleration due to gravity (approximately 9.81 m/s^2). Using the given initial velocity of 200 m/s and an angle of 37 degrees, we can insert the values into the formula and calculate the horizontal range.
First, we need to calculate sin(2∙θ), which is sin(74 degrees). Then, we multiply this value by the initial velocity squared (200 m/s)^2, and divide the entire expression by the acceleration due to gravity to find the horizontal range R.
After performing the calculations, we will arrive at the horizontal range of the bullet at a 37-degree angle, assuming no air resistance and level ground.