The angle at which the projectile was fired is 38.19°.
What is a projectile?
A projectile is an object that is fired or lunched during a parabolic or curved motion.
To calculate the angle of projection of the projectile, we use the formula below.
Formula:
- R = U²sin2∅/g.............. Equation 1
Where:
- R = Distance from the point where the projectile was fired to the point where its land
- U = Initial velocity
- g = acceleration due to gravity
- ∅ = angle of projection.
make ∅ the subject of the equation
- ∅ = [sin⁻¹(gR/U²)]/2.................. Equation 2
From the question,
Given:
- R = 300 m
- U = 55 m
- g = 9.8 m/s²
Substitute these values into equation 2
- ∅ = [sin⁻¹(9.8×300/55²)]/2
- ∅ = [sin⁻¹(0.9719)]/2
- ∅ = 76.385/2
- ∅ = 38.19°
Hence, the angle at which the projectile was fired is 38.19°.
Learn more about projectile here: https://brainly.com/question/1130127
