Hard Quadratic Word Problems

If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation
h(t) = -16t² +128t  
(if air resistance is neglected). When will the object reach its maximum height?

• 4 ft
• 0 seconds
• 0 ft
• 4 seconds

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

• 25
• 24
• 8
• 26

The function
f(t) = -5t²+20t + 60 
models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground? 

• 4 seconds
• -2 seconds
• 6 seconds
• 9 seconds

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

True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing

• True
• False, because the solution and root are the same but the x-intercept and zero are different
• False, because the x-intercept and root are the same but the zero and solution are different
• False, they are all different

Tags

CCSS.HSF-IF.C.7A

What is the formula for solving for the Axis of Symmetry?

• b²-4ac
• -b(+ -) Sq Root of b²-4ac/ 2a
• b/2a
• -b/2a

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?

• 8
• 1
• 1/2
• 1/4

Does the following quadratic equation have a maximum or minimum value? 
y=x²+2x-3
Explain.

• Minimum value, because the a value is positive
• Maximum value, because the b value is positive
• Maximum value, because the a value is positive
• Minimum value, because the c value is negative

Find the axis of symmetry for
f(x) = 4x²+16x-5

• x = 2
• x = -2
• y = 4
• y = 32