Quadratic Word Problems What to Solve

At a swim meet, Janet dives from a diving board that is 40 feet high. Her position above the water is represented by the equation h(t) = -16t2 + 24t + 40 where t represents time in seconds and h(t) represents height in feet. What would you need to find to determine how many seconds it will take for Janet to enter the water?!

• The positive x-intercept

• The negative x-intercept

• The x-value of the vertex

• The y-value of the vertex

At a swim meet, Janet dives from a diving board that is 40 feet high. Her position above the water is represented by the equation h(t) = -16t2 + 24t + 40 where t represents time in seconds and h(t) represents height in feet. What would you need to find to determine the greatest height she reaches in her dive.!

• The positive x-intercept

• The negative x-intercept

• The x-value of the vertex

• The y-value of the vertex

At a swim meet, Janet dives from a diving board that is 40 feet high. Her position above the water is represented by the equation h(t) = -16t2 + 24t + 40 where t represents time in seconds and h(t) represents height in feet. What would you need to find to determine how long it will take her to reach her maximum height?

• The positive x-intercept

• The negative x-intercept

• The x-value of the vertex

• The y-value of the vertex

How do you find the x-value of the vertex?

• b² - 4ac

• -b/2a

• b²/4a

• b/4ac

8 seconds

2.5 seconds

2.225 seconds

2.5 seconds

• 8 seconds

• 2.5 seconds

• 2.225 seconds

• 2.5 seconds

24 ft

8 ft

12 ft

10 ft

• 24 ft

• 8 ft

• 12 ft

• 10 ft

16 seconds

10 seconds

8 seconds 

14 seconds

• 16 seconds

• 10 seconds

• 8 seconds 

• 14 seconds

How high would you jump if the equation for jumping from a cliff is:    
h(t) = -16t² + 8t + 24?

• 25

• 24

• 8

• 26

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 will be the object's maximum height? 

• 2 ft

• 80 ft

• 144 ft

• 64 ft

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