Sinusoidal Functions and Applications Quiz

What is the primary reason the spring's motion is described as sinusoidal?

• It has a constant speed.

• It moves in a straight line.

• It oscillates up and down over time.

• It remains at a fixed height.

At what time does the weight first reach a high point of 60 cm?

• 0.8 seconds

• 3.3 seconds

• 1.8 seconds

• 0.3 seconds

How is the period of the sinusoidal function calculated in this problem?

• By adding the high and low points.

• By averaging the high and low points.

• By subtracting the time of the low point from the high point and doubling it.

• By dividing the high point by the low point.

What is the amplitude of the sinusoidal function in this scenario?

• 30 cm

• 10 cm

• 5 cm

• 20 cm

Which of the following represents the vertical shift of the function?

• 50 cm

• 40 cm

• 30 cm

• 60 cm

What is the significance of the midline in the sinusoidal function?

• It is the average of the high and low points.

• It represents the maximum height.

• It indicates the period of the function.

• It is the starting point of the graph.

Why is cosine preferred over sine for writing the equation in this problem?

• Cosine is more accurate.

• Cosine starts at the top or bottom, which is easier to identify.

• Cosine requires fewer calculations.

• Cosine is easier to calculate.

What is the predicted distance from the floor when the stopwatch reads 17.2 seconds?

• 60 cm

• 50 cm

• 58.1 cm

• 43.3 cm

What is the distance from the floor when the stopwatch starts?

• 43.3 cm

• 58.1 cm

• 60 cm

• 50 cm

Which of the following is a correct method to find the first three positive times when the weight is 59 cm above the floor?

• Use the graph to find intersections with y = 59.

• Calculate using the period and amplitude.

• Estimate based on the midline.

• Use the initial high point and add the period.