Sports
Jeremy kicks a football. Its height in feet is given by h(t)= -16t2+16t where t represents the time in seconds after the kick.
How high was the ball as it was being kicked?
0 ft (it's on the ground!)
At local pretzel shop, the Knot, the amount of profit, y, made by selling pretzels is given by the equation:
y= -x2+84x+95.
What is the maximum number of pretzels to be sold (at the maximum monthly revenue)?
42 pretzels
The height of an object thrown upward from the roof of a building with an initial velocity of 96 feet/second is given by the equation: h(t)= -16t2+96t+408, where h represents the height of the object after t seconds.
How tall is the building?
408 ft
The students in this class built a model rocket. The rocket is launched in a large field with an initial upward velocity of 128 feet per second. The function h(t)= -16t2+128t models the height of the rocket above the ground (in feet) t seconds after it is launched.
What does the y-value represent?
the rocket's height after a certain amount of time t has passed
Oliver throws a ball to his friend. The ball leaves his hand 5 feet above the ground and has an initial vertical velocity of 50 feet per second. The throw is modeled by h(t)= -16t2+50t+5.
What is the maximum height the ball reaches?
44.06 ft
Assume that the number of liters of water remaining in the bathtub varies quadratically with the number of minutes which has elapsed since you pulled the plug. Based on the data, the equation that models the scenario is: f(t)= 2.4t2-24t+60
How many liters of water will be left in the tub after 4 minutes?
2.4 liters
Penelope throws a ball off the top of a building. The initial velocity of the ball is 30 feet per second.
The throw is modeled by h(t)= -16t2+30t+350.
How high is the ball as it leaves her hand?
350 ft
A rocket is launched from a tower. The height of the rocket can be modeled by h(t)= -16t2+161t+69 where h(t) represents the height of the rocket after t seconds.
At what time does the rocket reach its maximum height?
5.03 seconds
Oliver throws a ball to his friend. The ball leaves his hand 5 feet above the ground and has an initial vertical velocity of 50 feet per second. The throw is modeled by h(t)= -16t2+50t+5.
How long does it take for the ball to reach its maximum height?
1.56 seconds
Assume that the number of liters of water remaining in the bathtub varies quadratically with the number of minutes which has elapsed since you pulled the plug. Based on the data, the equation that models the scenario is: f(t)= 2.4t2-24t+60
How many minutes will it take for the tub to be empty?
5 minutes
The height of an object thrown upward from the roof of a building with an initial velocity of 96 feet/second is given by the equation: h(t)= -16t2+96t+408, where h represents the height of the object after t seconds.
What is the highest the object goes?
552 ft
The students in this class built a model rocket. The rocket is launched in a large field with an initial upward velocity of 128 feet per second. The function h(t)= -16t2+128t models the height of the rocket above the ground (in feet) t seconds after it is launched.
What the maximum height the rocket reaches?
256 ft
Jeremy kicks a football. Its height in feet is given by h(t)= -16t2+16t where t represents the time in seconds after the kick.
How long does it take for the ball to hit the ground?
1 second
At local pretzel shop, the Knot, the amount of profit, y, made by selling pretzels is given by the equation:
y= -x2+84x+95.
How many pretzels are sold when the shop breaks even?
86 pretzels
Penelope throws a ball off the top of a building. The initial velocity of the ball is 30 feet per second.
The throw is modeled by h(t)= -16t2+30t+350.
How high is the ball when it has travelled for 4 seconds?
214 ft
A rocket is launched from a tower. The height of the rocket can be modeled by h(t)= -16t2+161t+69 where h(t) represents the height of the rocket after t seconds.
After how many seconds is the rocket at a height of 200 feet?
at both 0.89 seconds and 9.17 seconds