Quadratics and Maximum Height

 A ball is thrown into the air with an upward velocity of 64 ft/s. Its height, h, after t seconds is given by the function $h=-16t^2+64t+960$ .
How many seconds did it take for the ball to reach its maximum height?

• 10 seconds

• 64 seconds

• 960 seconds

• 2 seconds

Tags

CCSS.HSA.REI.B.4

A ball is thrown into the air with an upward velocity of 64 ft/s. Its height, h, after t seconds is given by the function
 $h=-16t^2+64t+960$  .
What is the maximum height?

• 960 feet

• 1008 feet

• 1024 feet

• 1152 feet

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

The graph below describes a ball that was kicked. Which of the following is a true statement describing the graph?

• The ball reached a maximum height of 1000 centimeters after 2 seconds.

• The ball reached a maximum height of 2000 centimeters after 4 seconds.

• The ball reached a maximum height of 2000 centimeters after 2 seconds.

• The ball had a maximum height of 2 centimeters after 2000 centimeters.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

 A t-shirt cannon launches a t-shirt from the top of the Statue of Liberty. The t-shirts height in meters, can be modeled by the equation $h=-4.9t^2+39.2t+46$ after t-seconds have passed. When will the t-shirt reach a maximum height?

• 1 second
  

• 2 seconds

• 3 seconds

• 4 seconds

 A t-shirt cannon launches a t-shirt from the top of the Statue of Liberty. The t-shirts height in meters, can be modeled by the equation $h=-4.9t^2+39.2t+46$ after t-seconds have passed. What is the maximum height the t-shirt will have reached? Round to the nearest whole meter.

• 105 meters
  

• 124 meters

• 120 meters

• 80 meters

The Koosh Ball was thrown on the fictional planet Blurch can be modeled by the equation below, where h(t) is in feet after t seconds.  $h(t)=-7t^2+70t+95$  
What is the maximum height of the Koosh Ball?

• 95 feet

• 270 feet

• 410 feet

• 620 feet

The West Milford soccer team goes for a hike and one player decides to kick a soccer ball off the side of a cliff (for scientific purposes). The team figures out that the ball is kicked with an upward velocity of 30 feet per second and the cliff is 112 feet off the ground and the balls path is modeled by $h\left(t\right)=-5t^2+30t+112$  . When does the ball reach a maximum height?

• 2 seconds

• 3 seconds

• 5 seconds

• 6 seconds

The West Milford soccer team goes for a hike and one player decides to kick a soccer ball off the side of a cliff (for scientific purposes). The team figures out that the ball is kicked with an upward velocity of 30 feet per second and the cliff is 112 feet off the ground and the balls path is modeled by $h\left(t\right)=-5t^2+30t+112$  . What is the maximum height of the ball?

• 112 feet

• 137 feet

• 157 feet

• 0 feet

Bucky is competing in a hot-air balloon festival. From a balloon directly over a target, he throws a marker with an initial upward velocity of 32 feet per second from a height of 200 feet. This is modeled by $h=-16t^2+32t+200$ . When does the marker hit he maximum height? 

• 0.5 seconds

• 1 second

• 1.5 seconds

• 32 seconds

Bucky is competing in a hot-air balloon festival. From a balloon directly over a target, he throws a marker with an initial upward velocity of 32 feet per second from a height of 200 feet. This is modeled by $h=-16t^2+32t+200$ . What is the maximum height of the marker? 

• 216 feet

• 16 feet

• 200 feet

• 232 feet