Quadratic Real World Problems

If you jump off a cliff and your path is modeled by the function,

h(t) = -16t² + 8t + 24, where t is time in seconds, how long would it take you to reach the water?

• .25 sec

• 1 sec

• 1.5 sec

• 2 sec

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.
When did the ball hit the ground?

• 10 seconds

• 2 seconds

• 5 seconds

• 7 seconds

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

What algebraic term are you solving for if the word problem is: The equation for leaping off a cliff is
h(t) = -16t² + 8t +24.  How long will it take for you to hit the water?

• Roots (Solutions)

• Axis of Symmetry

• Vertex

• y-intercept

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

• 22 meters

• 1.89 seconds

• 2 seconds

• 2 meters

• 18 meters

What is the total daily cost of all the tennis balls produced?

• 500

• 2300

• -2300

• 7700

A ball is thrown vertically into the air. Its height in feet after t seconds is given by the equation h(t) = –5t² + 20t. How many feet into the air will the ball be at 3 seconds?

Mathematical Equivalence

OFF

y = x² - 4x + 5

• down and down

• down and up

• up and down

• up and up

Tags

CCSS.HSF-IF.C.7A