Projectile Motion proof

The video tutorial explains the derivation of projectile motion formulas by considering a ball thrown into the air. It covers the initial conditions, vertical and horizontal motion analysis using calculus, and assumptions like no aerodynamic drag and constant gravity. The tutorial concludes with a note on the parabolic path of the projectile.

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

• Temperature and humidity

• Wind speed and direction

• Mass and shape of the projectile

• Initial velocity and position

What is the vertical acceleration of a projectile in motion?

• Variable depending on height

• -9.8 m/s² downwards

• 9.8 m/s² upwards

• 0 m/s²

How is the vertical velocity of a projectile calculated?

• By adding initial velocity and gravity

• By differentiating position with respect to time

• By integrating acceleration over time

• By multiplying mass and gravity

What assumption is made about horizontal motion in projectile motion?

• There is increasing velocity

• There is constant acceleration

• There is decreasing velocity

• There is no acceleration

How is the horizontal position of a projectile determined?

• By differentiating horizontal velocity with respect to time

• By multiplying horizontal velocity and time

• By adding initial position and horizontal velocity

• By integrating horizontal velocity over time

What is the shape of the path of a projectile?

• Parabolic

• Linear

• Circular

• Elliptical

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

• The force due to gravity is variable

• There is no aerodynamic drag

• The projectile's mass changes during flight

• The projectile is affected by wind resistance