Quadratics Projectile Motion

• 10 seconds

• 2 seconds

• 5 seconds

• 7 seconds

Must make Equation =0, then quadratic formula or factor

• -3

• 0.4

• 2.5

• 4

What is the equation that matches the graph?

A rock is dropped from a bridge 320 feet above a river. The pathway that the rock takes can be modeled by the equation h = -16t² + 320. How long will it take the rock to reach the river (ground)?

• 4.5 seconds

• 2.5 seconds

• 3.8 seconds

• 3.5 seconds

A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
 h = -16t² + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?

• 10 seconds

• 64 seconds

• 960 seconds

• 2 seconds

The height of an object thrown into the air can be modeled by the formula h(t) = -16t² + 70t + 95, where h(t) is in feet after t seconds.

What is the height of the object after 5 seconds?

• 95 feet

• 45 feet

• 70 feet

• 171.56 feet

A hunter fires an arrow in to the air with an initial upward velocity of 150 ft/s, at an initial height of 4 ft. Which of the following equations best models this scenario?

• h(t) = 16t² + 150t + 4

• h(t) = -16t² + 150t + 4

• h(t) = -16t² + 4t + 150

• h(t) = 9.8t² + 4t + 150

A ball is thrown into the air off of a 960 ft tall building with an initial upward velocity of 64 ft/s. How many seconds did it take for the ball to reach its maximum height?

• 10 seconds

• 64 seconds

• 960 seconds

• 2 seconds

A ball was launched into the air with an initial upward velocity of 100 ft/s. The ball was 5 ft off of the ground when it was launched.

Approximately what is the maximum height?

• 3 feet

• 100 feet

• 161 feet

• 5 feet

A rocket is launched from the ground with an upward velocity of 500 ft/s.

Approximately how long did it take the rocket to hit the ground?

• 31.3 seconds

• 3906.3 seconds

• 15.6 seconds

• 500 seconds