Question

for three days, molly investigates motion and records what she observes. for one of her tests, she blows a leaf blower toward a model car and measures the distance it travels across her grass. she tests three air speed settings on the blower (low, medium, and high). she also records the distance for each of the three settings. based on the patterns in mollys data, what is a relationship shown by this investigation? a the balls direction changed more with the lowest air speed setting. b on monday, the ball rolled the greatest distance for each air speed setting. c the lower the force of air pushing the ball, the greater the speed it traveled. d the greater the force of air pushing the ball, the greater the distance traveled

Explanation:

Step1: Analyze Option A

The data is about distance rolled and air - speed setting, not about direction change. So, Option A is incorrect.

Step2: Analyze Option B

Looking at the data:

• For Monday: \(12 - 8=4\), \(15 - 12 = 3\)
• For Tuesday: \(12.5-8.5 = 4\), \(18 - 12.5=5.5\)
• For Wednesday: \(12.5 - 8=4.5\), \(15.5-12.5 = 3\)

There is no clear pattern that on Monday the ball rolled the greatest distance for each air - speed setting. So, Option B is incorrect.

Step3: Analyze Option C

If the force of air pushing the ball is lower (lower air - speed setting), from the data (e.g., comparing low, medium, and high settings across days), a lower force (lower air - speed) does not lead to a greater distance. For example, when air - speed is low (\(8\) ft on Monday), the distance is not the greatest. So, Option C is incorrect.

Step4: Analyze Option D

As the air - speed (which is related to the force of air pushing the ball) increases (from low to medium to high settings), looking at the data:

• Monday: \(8\) (low) \(\to12\) (medium)\(\to15\) (high)
• Tuesday: \(8.5\) (low)\(\to12.5\) (medium)\(\to18\) (high)
• Wednesday: \(8\) (low)\(\to12.5\) (medium)\(\to15.5\) (high)

The greater the force of air pushing the ball (higher air - speed setting), the greater the distance the ball rolled.

Answer:

D. The greater the force of air pushing the ball, the greater the distance the ball rolled.