Rockets

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, which occurs at the vertex of its parabolic trajectory.

Front

What is the equation for the height of a toy rocket launched vertically?

Back

The height, h(t), of a toy rocket launched vertically can be modeled by the equation h(t) = -16t² + vt, where v is the initial velocity in feet per second.

Front

How do you find the maximum height from a quadratic equation?

Back

To find the maximum height from a quadratic equation in the form h(t) = at² + bt + c, use the formula t = -b/(2a) to find the time at which the maximum height occurs.

Front

What does the x-coordinate of the vertex represent in a projectile motion graph?

Back

The x-coordinate of the vertex represents the time at which the projectile reaches its maximum height.

Front

What does the y-coordinate of the vertex represent in a projectile motion graph?

Back

The y-coordinate of the vertex represents the maximum height reached by the projectile.

Front

What is the significance of the y-intercept in a height vs. time graph?

Back

The y-intercept represents the initial height of the projectile at time t = 0.

Front

What is the significance of the x-intercepts in a height vs. time graph?

Back

The x-intercepts represent the times at which the projectile hits the ground (height = 0).

Front

If a rocket is launched with an initial velocity of 96 ft/s, what is its maximum height?

Back

The maximum height is 144 feet.

Front

If a rocket is launched with an initial velocity of 144 ft/s, what is its maximum height?

Back

The maximum height is 324 feet.

Front

How long does it take a rocket launched with an initial velocity of 128 ft/s to hit the ground?

Back

It takes 8 seconds to hit the ground.