Question

When they started that morning the roads were clear and they managed to maintain a speed of 65 mph for 2 and a half hours, 60 mph for 2 hours, 70 mph for 1 hour, and finally 35 mph for another hour to get to their destination. What is their total mileage, velocity, how long did it take on the road, and what is the average speed and cost of energy used?

Answer 1

The total mileage is 387.5 miles. The average speed is 59.62 mph. The cost of energy used cannot be determined based on the given information.

Step-by-step explanation:

To find the total mileage, we need to calculate the distance for each leg of the journey and then sum them up.

1. First leg: Distance = Speed x Time = 65 mph x 2.5 hours = 162.5 miles
2. Second leg: Distance = Speed x Time = 60 mph x 2 hours = 120 miles
3. Third leg: Distance = Speed x Time = 70 mph x 1 hour = 70 miles
4. Fourth leg: Distance = Speed x Time = 35 mph x 1 hour = 35 miles

The total mileage is 162.5 miles + 120 miles + 70 miles + 35 miles = 387.5 miles.

Velocity is a vector quantity that includes both speed and direction. Since the question does not provide information about direction, we can only calculate the average speed.

The total time on the road is 2.5 hours + 2 hours + 1 hour + 1 hour = 6.5 hours.

The average speed is given by the total distance divided by the total time on the road: Average speed = Total distance / Total time = 387.5 miles / 6.5 hours = 59.62 mph.

Regarding the cost of energy used, the question does not provide any information about the type of vehicle or its fuel consumption. Therefore, it is not possible to determine the cost of energy used based on the given information.