Projectile Motion proof

The video tutorial explains the process of deriving projectile motion formulas by analyzing both vertical and horizontal components of motion. It begins with setting initial conditions and proceeds to use calculus to derive equations for velocity and position in both directions. The tutorial assumes no aerodynamic drag and constant gravitational force, concluding with a note on the parabolic path of projectiles.

What initial conditions are necessary to predict the motion of a projectile?

• Initial velocity and position

• Mass and shape of the projectile

• Wind speed and direction

• Temperature and humidity

What is the vertical acceleration of a projectile in motion?

• 0 m/s²

• 9.8 m/s² upwards

• -9.8 m/s²

• Variable depending on height

How is the vertical velocity of a projectile calculated?

• By integrating the acceleration with respect to time

• By integrating the horizontal velocity

• By multiplying mass with gravity

• By differentiating the position with respect to time

What assumption is made about horizontal motion in projectile motion?

• There is constant acceleration

• There is no acceleration

• There is increasing velocity

• There is decreasing velocity

What is the horizontal velocity of a projectile when air resistance is neglected?

• It becomes zero

• It increases over time

• It decreases over time

• It remains constant

What is the shape of the path of a projectile?

• Circular

• Elliptical

• Linear

• Parabolic

What is one of the key assumptions made in the projectile motion analysis?

• The projectile is self-propelled

• Gravity is constant

• Air resistance is significant

• Gravity varies with height