A projectile is thrown at an angle of 37° – how do you calculate its range?

The range of a projectile is the horizontal distance it travels before hitting the ground.

The formula for range is:

R = (u² sin 2θ) / g

Where:

• R = range
• u = initial velocity
• θ = angle of projection
• g = acceleration due to gravity

For θ = 37°:

R = (u² sin 74°) / g

Since sin 74° is approximately 0.96, the range becomes:

R ≈ (u² × 0.96) / g

In many numerical problems, approximate values are used:
sin 37° ≈ 3/5 and cos 37° ≈ 4/5

Key points:

• The projectile follows a parabolic path
• Range depends on initial velocity and angle
• Maximum range occurs at 45°, not 37°

This formula is widely used in physics problems related to motion.