Projectile Motion

Front

What is projectile motion?

Back

Projectile motion is the motion of an object thrown into the air, subject to the force of gravity, following a curved path called a trajectory.

Front

What factors affect the trajectory of a projectile?

Back

The initial velocity, angle of launch, and acceleration due to gravity are the main factors affecting the trajectory of a projectile.

Front

What is the formula for the height of a projectile?

Back

The height h of a projectile can be modeled by the equation h = -16t² + v₀t + h₀, where v₀ is the initial velocity and h₀ is the initial height.

Front

What is the significance of the vertex in projectile motion?

Back

The vertex represents the maximum height of the projectile's path.

Front

How do you find the time of flight for a projectile?

Back

The time of flight can be found by solving the equation h = 0 for t, using the height equation.

Front

What are the x-intercepts in the context of projectile motion?

Back

The x-intercepts represent the points where the projectile hits the ground (height = 0).

Front

What is the maximum height of a projectile?

Back

The maximum height is the highest point reached by the projectile, found at the vertex of its parabolic path.

Front

What is the formula to calculate the range of a projectile?

Back

The range R can be calculated using R = (v₀² * sin(2θ)) / g, where θ is the launch angle and g is the acceleration due to gravity.

Front

What is the role of gravity in projectile motion?

Back

Gravity acts as a constant downward force, affecting the vertical motion of the projectile and causing it to accelerate downwards.

Front

How does the angle of launch affect the range of a projectile?

Back

The optimal angle for maximum range is 45 degrees; angles less than or greater than this will result in a shorter range.