Quadratic Word Problem Practice

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax² + bx + c = 0, where a, b, and c are constants.

Front

What does the variable 'h' represent in height equations?

Back

In height equations, 'h' represents the height of an object above the ground at a given time 't'.

Front

What does the variable 't' represent in height equations?

Back

In height equations, 't' represents the time in seconds that has elapsed since the object was dropped or launched.

Front

What is the significance of the coefficient of t² in a quadratic height equation?

Back

The coefficient of t² determines the direction of the parabola; if negative, the parabola opens downwards, indicating the object is falling.

Front

How do you find the time when an object hits the ground using a quadratic equation?

Back

Set the height equation h(t) to 0 and solve for t to find when the object reaches ground level.

Front

What is the maximum height of a projectile?

Back

The maximum height of a projectile is the highest point it reaches during its flight, found at the vertex of the parabola represented by its height equation.

Front

How do you determine the time to reach maximum height in a quadratic equation?

Back

The time to reach maximum height can be found using the formula t = -b/(2a) from the standard form of the quadratic equation.

Front

What is the vertex of a parabola in the context of projectile motion?

Back

The vertex of a parabola represents the maximum height of the projectile and the time at which it occurs.

Front

What is the formula to calculate the height of an object in free fall?

Back

The height of an object in free fall can be modeled by the equation h(t) = -16t² + h₀, where h₀ is the initial height.

Front

What does it mean if a quadratic equation has two real solutions?

Back

If a quadratic equation has two real solutions, it means the object reaches the ground at two different times, typically when it is thrown upwards and falls back down.