Quadratic Word Problems Day 1

If you are given an equation similar to  $h\ =-16t^{2\ }+\ 40t\ +\ 45$  what would you plug in for h if the question asked how long until the object hit the ground.

If you are given the quadratic equation,  $h\ =\ \ =-16t^{2\ }+\ 40t\ +\ 45$  can you gain any information from the equation itself? Meaning, can you tell the height it started at? If so, where did an object start/fall from?

How fast would you reach the water if you jump of a cliff using the formula:    h(t) = -16t² + 8t + 24?

• 8
• 1
• 1.5
• 1/4

At what time would you reach 16 ft above the water if you jump of a cliff using the formula:

h = -16t² + 8t + 24?

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation:

h = -16t² + 80

About how long did it take for the balloon to hit the ground?

A ball is thrown into the air with an upward velocity of 40ft/s. Its height h in feet after t seconds is given by the function :

h(t) = -16t² + 40t + 10

How many seconds does it take the ball to reach its maximum height?

• 1.25 seconds

• 1.4 seconds

• 2.5 seconds

• 2 seconds

If each mark on the x-axis represents one second, when did the object reach the ground?

• 2.5 seconds

• 6 seconds

• 5.5 seconds

• 5 seconds

Rafael drops a ball from a third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.

h = -5t² + 45

When is the ball at ground level?

How are you feeling about quadratic word problems?