Projectile Motion- Real World Quadratics

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 trajectory.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does the vertex of a parabola represent in projectile motion?

Back

The vertex of a parabola represents the maximum height of the projectile in motion.

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 to zero and solve for time (t).

Front

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

Back

The initial velocity determines how high and how far the projectile will travel before it hits the ground.

Front

What is the effect of gravity on a projectile?

Back

Gravity accelerates the projectile downwards, affecting its height and time of flight.

Front

How do you determine the maximum height of a projectile?

Back

The maximum height can be found by calculating the vertex of the quadratic equation that models the projectile's height.

Front

What is the formula for the height of a projectile launched vertically?

Back

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

Front

What does the discriminant of a quadratic equation tell us?

Back

The discriminant (b² - 4ac) indicates the nature of the roots: if positive, there are two real roots; if zero, one real root; if negative, no real roots.

Front

How can you graph a quadratic function?

Back

To graph a quadratic function, identify the vertex, axis of symmetry, and intercepts, then plot points to form a parabola.