Question 1110938: 1: Graph a sine function whose amplitude is 6, period is 4π , midline is y=−4 , and y-intercept is (0, −4)
The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.
2: When plucked, the E string on a violin has a frequency of 659 cycles per second.
What sine function represents this note when it is graphed with an amplitude of 2.5 units?
Let x represent the number of seconds
3: An iron ball is bobbing up and down on the end of a spring. The maximum height of the ball is 46 inches and its minimum height is 18 inches. It takes the ball 2 seconds to go from its maximum height to its minimum height.
Which model best represents the height, h, of the ball after t seconds
A h(t)=18sin(πt2)+32
B h(t)=14sin(πt2)+32
C h(t)=32sin(πt)+18
D h(t)=14sin(πt)+32
4: Gerald launches a projectile from the top of an 80-foot high building. The initial velocity of the projectile is 32 feet per second. The height of the projectile is modeled by the function h(t)=−16t2+64t+80 , where t is measured in seconds since the launch.
What is the maximum height the projectile reaches?
A 80 ft
B 124 ft
C 132 ft
D 144 ft
5: A rollercoaster ride reaches a height of 80 feet before it sharply drops. The height above the ground of the rollercoaster car during the drop is modeled by the function, h(t)=10t2−40t+80 , where t is measured in seconds since the car started its decline.
The model is accurate for 0≤t≤4 .
On this portion of the ride, how long does the car take to reach a minimum height from the ground before rising again
A 1.25 s
B 1.5 s
C 2 s
D 2.75 s
6: On Dolphin Beach, the high tide is 1.8 meters and only occurs at 12 a.m. and 12 p.m. The low tide is 0.4 meter and only occurs at 6 a.m. and 6 p.m.
Which function models the height of the tide t hours after 12 a.m.
A h(t)=1.1sin(πt3)+0.7
B h(t)=1.8cos(πt3)+0.4
C h(t)=0.7cos(πt6)+1.1
D h(t)=0.7sin(πt6)+1.1
Enter the amplitude of the function f(x) .
f(x)=−sin(3x)−
7: The height of an object projected upward from the ground with an initial velocity of 96 feet per second is modeled by the function h(t)=−16t2+96t , where t is measured in seconds.
How long does it take for the object to return to the ground?
A 2 s
B 3 s
C 4 s
D 6 s
Answer by ikleyn(52747)   (Show Source):
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