Algebra Quadratic Word Problems

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation s(t) = –16t² + 64t + 80. What would you find to determine the object's maximum height?

• y-intercept

• x-value at vertex

• y-value at vertex

• Plug in given value.

You jump off a 24 foot high cliff and your fall is modeled by the function:

h(t) = -16t² + 8t + 24

What would you find to determine the how long would it take you to reach maximum height?

• y-intercept

• x-value at vertex

• y-value at vertex

• plug in given value for t.

You jump off a 24 foot high cliff and your fall is modeled by the function: h(t) = -16t² + 8t + 24 What would you do to determine the height after 2 seconds?

• y-intercept

• x-value at vertex

• y-value at vertex

• plug in given value

A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. Use the formula: h(t) = −16 t² + 8t + 24

What would you find to determine the height of the platform?

• y-intercept

• x-value at the vertex

• y-value at the vertex

• Plug in given value

• A

• B

• C

• D

Answer to part c is....

The sum of a number and its square is 72. Find the number.

• 8 or 9

• 8 or -9

• -8 or 9

• -8 or -9

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 = -16t^2 + 80 About how long did it take for the balloon to hit the ground?

• 1.73 seconds

• 2.24 seconds

• 2.45 seconds

• 2.83 seconds

You jump off a 24 foot high cliff and your fall is modeled by the function:

h(t) = -16t² + 8t + 24

How long would it take you to hit the water?

• 8 seconds

• 1 second

• 1.5 seconds

• 1/4 second