A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation
gives the height h of the ball after t seconds.
Find the maximum height of the ball. (Round to the nearest hundredth)
Question 14
14.
A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation
gives the height h of the ball after t seconds.
How many seconds will it take for the ball to reach the ground? (Round to the nearest hundredth)
Question 15
15.
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?
0 ≤ x ≤ 2.5
2.5 < x < 5.5
0 < x < 5.5
x ≥ 2
The expression
represents the height, in meters, of a toy rocket t seconds after launch. The initial height of the rocket, in meters, is
0
4.9
2
50
The height of a ball Doreen tossed into the air can be modeled by the function
, where x is the time elapsed in seconds, and h(x) is the height in meters. The number 5 in the function represents
the initial height of the ball
the time at which the ball was at its highest point
the time at which the ball reaches the ground
the maximum height the ball attained when thrown in the air
A ball is thrown into the air from the top of a building. The height, h(t), of the ball above the ground t seconds after it is thrown can be modeled by
How many seconds after being thrown will the ball hit the ground?
5
2
80
144
Morgan throws a ball up into the air. The height of the ball above the ground, in feet, is modeled by the function
where t represents the time, in seconds, since the ball was thrown. What is the appropriate domain for this situation?
0 ≤ t ≤ 1.5
0 ≤ t ≤ 9
0 ≤ h(t) ≤ 1.5
0 ≤ h(t) ≤ 9
A ball was launched into the air, and its height above the ground was recorded each second, as shown in the table below.
Based on these data, which statement is a valid conclusion?
The ball lands on the ground at 4 seconds.
The ball was launched from the height of 0 feet.
The ball reaches a maximum height of 11 feet.
The ball reaches its maximum height at 2 seconds.
The height of a rocket, at selected times, is shown in the table below.
Based on these data, which statement is not a valid conclusion?
The rocket was launched from a height of 180 feet.
The rocket was in the air approximately 6 seconds before hitting the ground.
The maximum height of the rocket occurred 3 seconds after launch.
The rocket was above 300 feet for approximately 2 seconds.
Ian throws a ball up in the air and lets it fall to the ground. The height of the ball, h(t), is modeled by the equation
with h(t) measured in feet, and time, t, measured in seconds. The number 3 in h(t) represents
the maximum height of the ball
he number of seconds it takes for the ball to reach the ground
the height from which the ball is thrown
the number of seconds it takes for the ball to reach its maximum heigh
Paul launched a ball from the top of a bridge. The function,
models the trajectory of the ball, where f(x) represents the height of the ball, in feet, and x is the time elapsed since the ball was launched.
Which of the following best describes the domain of the function that represents the trajectory of the ball that Paul launched?
Consider the function
Which of the following are true about the function. Choose three statements.
The graph of the function opens down
The graph of the function opens up
The graph of the function has a vertex at
The graph of the function has a vertex at
The graph of the function has an axis of symmetry at x = -2
The graph of the function has an axis of symmetry at x = -16
Consider the function
Which of the following are true about the intercepts of the graph of the function?
The graph of the function has x-intercepts at (-6,0) and (2,0) and a y-intercept at (0,-12).
The graph of the function has x-intercepts at (-6,0) and (-2,0) and a y-intercept at (0,12).
The graph of the function has y-intercepts at (-6,0) and (2,0) and an x-intercept at (0,-12).
The graph of the function has x-intercepts at (-6,0) and (2,0) and a y-intercept at (-2,-16).
Consider the function below.
What is the interval of decrease?
Ava is jumping on a trampoline. Her height h at a time t can be modeled by the equation
