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- 1. Multiple Choice
An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation
s(t) = –16t2 + 64t + 80
What will be the object's maximum height?
2 ft
80 ft
144 ft
64 ft
- 2. Multiple Choice
You jump off a 24 foot high cliff and your fall is modeled by the function:
h(t) = -16t2 + 8t + 24
How long would it take you to hit the water?
8 seconds
1 second
1.5 seconds
1/4 second
- 3. Multiple Choice
You jump off a 24 foot high cliff and your fall is modeled by the function:
h(t) = -16t2 + 8t + 24
When would you reach 16 feet above the water?
8 seconds
1 second
1/2 second
1/4 second
- 4. Multiple Choice
A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. Use the formula: h(t) = −16 t2 + 8t + 24
How high is the platform?
.25 ft
24 ft
25 ft
8 ft
- 5. Multiple Choice
The profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function:
p= -15x2 +600x +60
What is the maximum profit you can make from selling tickets?
$6060
$20
$600
$10,250
- 6. Multiple Choice
Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation:
h = -16t2 + 80
About how long did it take for the balloon to hit the ground?
1.73 seconds
2.24 seconds
2.45 seconds
2.83 seconds
- 7. Multiple Choice
A ball is thrown into the air with an upward velocity of 40ft/s. Its height h in feet after t seconds is given by the function :
h(t) = -16t2 + 40t + 10
How many seconds does it take the ball to reach its maximum height?
1.25 seconds
1.4 seconds
2.5 seconds
2 seconds
- 8. Multiple Choice
If each mark on the x-axis represents one second, when did the object reach the ground?
2.5 seconds
6 seconds
5.5 seconds
5 seconds
- 9. Multiple Choice
Rafael drops a ball from a third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.
h = -5t2 + 45
When is the ball at ground level?
only at t = 0 seconds
only at t = 3 seconds
only at t = 9 seconds
at both t = 0 seconds and t = 3 seconds
- 10. Multiple Choice
Jason launched a rocket for a physics experiment. This equation can be used to find the height (h), in feet, of the rocket after t seconds.
h = -16t2 + 288t + 8
How many seconds will it take for the rocket to reach a height of 1,304 feet?
9.0 seconds
9.6 seconds
81.0 seconds
82.0 seconds
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