Quadratic Characteristics Word Problems

Q1. What is the length of the rope?

• 24 ft

• 8 ft

• 12 ft

• 10 ft

16 seconds

10 seconds

8 seconds 

14 seconds

• 16 seconds

• 10 seconds

• 8 seconds 

• 14 seconds

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

240 ft

256 ft

265 ft

230 ft

• 240 ft

• 256 ft

• 265 ft

• 230 ft

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

• 25

• 24

• 8

• 26

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

In order to find the vertex of an in standard form, the first two steps are to use the equation _____ to find the x value, and then you can plug that value back into the equation to find the _____.

• -b/2a, y-value

• (x-h)^2, y-intercept
  

• (x-r1), solution

• ax^2, vertex

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

When will the object reach its maximum height?

• 4 ft

• 0 seconds

• 0 ft

• 4 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

A ball is thrown into the air from the edge of a 48-foot-high cliff so that it eventually lands on the ground. The graph below shows the height, y, of the ball from the ground after x seconds. For which interval is the ball's height always decreasing?