what is the theoretical relationship of an physics experiment that determine the horizontal distance travelled by an object projected at various angles from the horizontal?
The theoretical relationship for determining the horizontal distance travelled by an object projected at various angles from the horizontal can be described using projectile motion equations.
When an object is projected at an angle from the horizontal, it follows a curved path known as a parabolic trajectory. The horizontal distance travelled by the object can be calculated using the following equation:
Range = (velocity^2 * sin(2*θ)) / g
Where:
- Range is the horizontal distance travelled by the object
- velocity is the initial velocity of the object
- θ is the angle of projection from the horizontal
- g is the acceleration due to gravity
This equation shows that the range of the projectile is directly proportional to the square of the initial velocity and the sine of twice the angle of projection. It is inversely proportional to the acceleration due to gravity.
By conducting a physics experiment to measure the horizontal distance travelled by an object projected at various angles from the horizontal, one can validate this theoretical relationship and determine how the angle of projection affects the range of the projectile.