Questions: Question 3 2 pts A family is going to the movies and pulls out of their driveway. The movie theater is 80 km away and they make the drive in 0.8 hours. Which statement is most likely true? Their instantaneous velocity while pulling out of their driveway was 0 km/hr and their average velocity for their drive to the theater was 64 km/hr. Their instantaneous velocity while pulling out of their driveway was 2 km/hr and their average velocity for their drive to the theater was 64 km/hr. Their instantaneous velocity while pulling out of their driveway was 2 km/hr and their average velocity for their drive to the theater was 100 km/hr. Their instantaneous velocity while pulling out of their driveway was 0 km/hr and their average velocity for their drive to the theater was 100 km/hr.

Solution Steps

The average velocity is calculated using the formula:

\[ \text{Average Velocity} = \frac{\text{Total Distance}}{\text{Total Time}} \]

Given that the total distance to the movie theater is 80 km and the total time taken is 0.8 hours, we can substitute these values into the formula:

\[ \text{Average Velocity} = \frac{80 \, \text{km}}{0.8 \, \text{hr}} = 100 \, \text{km/hr} \]

The instantaneous velocity while pulling out of the driveway is likely to be very low, as the vehicle starts from rest. Therefore, it is reasonable to assume that the instantaneous velocity at that moment is \(0 \, \text{km/hr}\).

Now, we compare the calculated average velocity and the reasonable assumption about the instantaneous velocity with the given statements:

1. Instantaneous velocity: \(0 \, \text{km/hr}\), Average velocity: \(64 \, \text{km/hr}\)
2. Instantaneous velocity: \(2 \, \text{km/hr}\), Average velocity: \(64 \, \text{km/hr}\)
3. Instantaneous velocity: \(2 \, \text{km/hr}\), Average velocity: \(100 \, \text{km/hr}\)
4. Instantaneous velocity: \(0 \, \text{km/hr}\), Average velocity: \(100 \, \text{km/hr}\)

The correct statement based on our calculations and assumptions is:

• Instantaneous velocity: \(0 \, \text{km/hr}\)
• Average velocity: \(100 \, \text{km/hr}\)

Final Answer