11 questions
The height of a water balloon that is launched into the air is given by h(t) = -5t2 + 40t + 2. From what height was the balloon released?
2 meters
5 meters
40 meters
20 meters
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
A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -8t2 + 16t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?
1 foot
5 feet
7 feet
8 feet
12 feet
A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation h = -6t2 + 6t where h is the frog's height at any given time, t . How many seconds until the frog is back on the ground?
0.5 seconds
1 second
1.5 seconds
2 seconds
3 seconds
Your nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air. The equation
h = -2t2 + 7t + 4 models the toy's height, h, from the ground at t seconds after he threw it. How high is the toy after 1 second?
2
4
9
10
15
Fireworks are fired from the roof of a 100-foot building. The equation h = -16t2 +84t + 100 models the height, h, of the fireworks at any given time, t. How high do the fireworks get?
2.625
6.25
100
200
210.25
Your friend passes you the ball during a soccer game. The height off the ground is modeled by the equation
h = -4t2 + 12t. How high did the soccer ball get?
1.5
3
5
9
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?
The height of a ball Doreen tossed into the air can be modeled by the function h(x) = −4.9x2 + 6x + 5, 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 reaches the ground
the time at which the ball was at its highest point
the maximum height the ball attained when thrown in the air
A ball is thrown straight up at an initial velocity of 54 feet per second. The height of the ball t seconds after it is thrown is given by the formula h(t) = 54t − 12t2 .
How many seconds after the ball is thrown will it return to the ground?
9.2
6
4.5
4