Question

step 4: explore newton’s first law of motion. calculate the average distances the car and the washer traveled from the top of the track. record the averages and your qualitative observations in table b of your student guide. record what happened to the washer after the car hit the textbook. explain whether the washer did the same thing every time. what is the average distance the car traveled? cm. what is the average distance the washer traveled? cm.

Explanation:

To calculate the average distance, we typically need the individual distance values (let's say we have \( n \) trials with distances \( d_1, d_2, \dots, d_n \) for the car and \( w_1, w_2, \dots, w_n \) for the washer). However, since the specific distance values from the trials are not provided in the image, we can't compute the numerical average. But the general formula for the average (mean) distance is:

For the car:
\( \text{Average distance (car)} = \frac{d_1 + d_2 + \dots + d_n}{n} \)

For the washer:
\( \text{Average distance (washer)} = \frac{w_1 + w_2 + \dots + w_n}{n} \)

If we assume, for example, that the car traveled distances \( 50 \, \text{cm}, 52 \, \text{cm}, 48 \, \text{cm} \) (3 trials) and the washer traveled \( 10 \, \text{cm}, 11 \, \text{cm}, 9 \, \text{cm} \):

Step 1: Calculate average for the car

Sum of distances: \( 50 + 52 + 48 = 150 \)
Number of trials: \( n = 3 \)
Average: \( \frac{150}{3} = 50 \, \text{cm} \)

Step 2: Calculate average for the washer

Sum of distances: \( 10 + 11 + 9 = 30 \)
Number of trials: \( n = 3 \)
Average: \( \frac{30}{3} = 10 \, \text{cm} \)

Since the actual trial data is missing from the image, you would substitute your measured distances into these formulas. For example, if your car’s distances are \( d_1, d_2, d_3 \), compute their sum and divide by 3; do the same for the washer’s distances.

If we use the example above:

• Average distance the car traveled: \( \boldsymbol{50} \, \text{cm} \)
• Average distance the washer traveled: \( \boldsymbol{10} \, \text{cm} \)

(Note: Replace these values with your actual experimental data.)

Answer:

To calculate the average distance, we typically need the individual distance values (let's say we have \( n \) trials with distances \( d_1, d_2, \dots, d_n \) for the car and \( w_1, w_2, \dots, w_n \) for the washer). However, since the specific distance values from the trials are not provided in the image, we can't compute the numerical average. But the general formula for the average (mean) distance is:

For the car:
\( \text{Average distance (car)} = \frac{d_1 + d_2 + \dots + d_n}{n} \)

For the washer:
\( \text{Average distance (washer)} = \frac{w_1 + w_2 + \dots + w_n}{n} \)

If we assume, for example, that the car traveled distances \( 50 \, \text{cm}, 52 \, \text{cm}, 48 \, \text{cm} \) (3 trials) and the washer traveled \( 10 \, \text{cm}, 11 \, \text{cm}, 9 \, \text{cm} \):

Step 1: Calculate average for the car

Sum of distances: \( 50 + 52 + 48 = 150 \)
Number of trials: \( n = 3 \)
Average: \( \frac{150}{3} = 50 \, \text{cm} \)

Step 2: Calculate average for the washer

Sum of distances: \( 10 + 11 + 9 = 30 \)
Number of trials: \( n = 3 \)
Average: \( \frac{30}{3} = 10 \, \text{cm} \)

Since the actual trial data is missing from the image, you would substitute your measured distances into these formulas. For example, if your car’s distances are \( d_1, d_2, d_3 \), compute their sum and divide by 3; do the same for the washer’s distances.

If we use the example above:

• Average distance the car traveled: \( \boldsymbol{50} \, \text{cm} \)
• Average distance the washer traveled: \( \boldsymbol{10} \, \text{cm} \)

(Note: Replace these values with your actual experimental data.)