Projectile Motion

Front

What is projectile motion?

Back

Projectile motion is the motion of an object that is thrown into the air and is subject to the force of gravity. It follows a curved path called a parabola.

Front

What is the equation for the height of a projectile?

Back

The height of a projectile can be modeled by the equation h(t) = -16t² + vt + h₀, where v is the initial velocity and h₀ is the initial height.

Front

What does the term 'initial height' mean in projectile motion?

Back

Initial height refers to the height from which the projectile is launched. It is represented by h₀ in the height equation.

Front

How do you find the time it takes for a projectile to hit the ground?

Back

To find the time it takes for a projectile to hit the ground, set the height equation h(t) to zero and solve for t.

Front

What is the vertex of a parabola in projectile motion?

Back

The vertex of a parabola represents the maximum height of the projectile and can be found using the formula t = -b/(2a) from the standard form of the quadratic equation.

Front

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

Back

X-intercepts, also known as roots or zeros, are the points where the projectile's height is zero, indicating when it hits the ground.

Front

What is the significance of the initial velocity in projectile motion?

Back

Initial velocity determines how high and how far the projectile will travel. It is a crucial factor in calculating the trajectory.

Front

What is the effect of gravity on projectile motion?

Back

Gravity acts downward on the projectile, causing it to decelerate as it rises and accelerate as it falls, resulting in a parabolic trajectory.

Front

How does air resistance affect projectile motion?

Back

Air resistance opposes the motion of the projectile, reducing its range and altering its trajectory compared to ideal projectile motion.

Front

What is the formula for calculating the maximum height of a projectile?

Back

The maximum height can be calculated using the formula h_max = h₀ + (v²)/(2g), where g is the acceleration due to gravity.