Real World Quadratic Problems

You are snowboarding on a mountain at Breckenridge 23 ft up in the air. You are about to go off a jump. At 0 seconds, your standing up on the mountain up at 23 ft, then you begin to go off your jump. After one second, you are 37 ft above the ground. After 2 seconds, you are at 47 feet. After three seconds, you are at 53 feet. After four seconds, you reach your maximum height of 55 feet.

Select the equation that matches this situation.

The height of a water balloon that is launched into the air is given by h(t) = -5x²+20x+25. When will the balloon explode on the ground?

• 5 seconds

• 1 second

• 2 seconds

• 3 seconds

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

The graph below shows the height, in feet, over time, in seconds, of a student's rocket. Use the graph to answer the questions below. What was the maximum height the rocket reached?

• 25 feet

• 45 feet

• 65 feet

• 85 feet

• 24 feet

• 10 feet

• -4 feet

• 3 feet

• 3 seconds

• 46 seconds

• 5 seconds

• 10 seconds

• 24 feet

• 9 feet

• 46 feet

• 34 feet

• 14 feet

• 17 feet

• 19 feet

• 22 feet

• Between 1 and 2 seconds

• Between 2 and 3 seconds

• Between 3 and 4 seconds

• Between 4 and 5 seconds

• Yes it will definitely clear 19 feet

• No his arm is weak it won't make it over 19 feet

• I'm not sure about this one, I've never seen Prince throw