Can someone help me out with this question:

A motorist drives north for 41.0 minutes at 80.5 km/h and then stops for 15.0 minutes. He then continues north, traveling 130 km in 1.70 h

(a) What is his total displacement?
(b) What is his average velocity?

(a) Add the distances that he travels during the two intervals that he drives.

(41/60)*80.5 + 130 km = ?

(b) Divide the total distance travelled (from a) by the total elapsed time T, including the 15 min (1/4 hr) rest.

T = 41/60 + 1/4 + 1.70 hr = ?

displacement is the change in distance so it would be f-i which is 0-80.5=-80.5 and then you also need to find the other displacement which is 130-0=130 and the total i believe is adding the two which is 49.5. hope its right

To find the answers to these questions, we need to understand the concepts of displacement and average velocity.

Displacement refers to the change in position of an object from its starting point to its ending point. It is a vector quantity, meaning it has both magnitude (the numerical value) and direction (north, in this case).

Average velocity, on the other hand, is calculated by finding the total displacement and dividing it by the total time elapsed. It represents the overall change in position per unit time.

Now let's solve the problems step by step:

(a) Calculating the total displacement:
- The motorist drives north for 41.0 minutes at 80.5 km/h. To find distance, we can use the formula: distance = speed × time.
- Therefore, the distance traveled during this period is: distance = 80.5 km/h × (41.0 minutes / 60 minutes per hour).
- Convert minutes to hours: distance = 80.5 × (41.0 / 60) km.
- After converting the units and calculating, we find that the distance traveled during this period is approximately 55.72 km.
- Now, the motorist stops for 15.0 minutes, so the displacement during this time is zero.
- Finally, the motorist continues driving north for 130 km in 1.70 hours. During this time, there is no need to convert units as they are already in the correct format.
- We can now calculate the total displacement by summing up the values: total displacement = 0 km + 130 km.
- The total displacement is therefore 130 km.

(b) Calculating the average velocity:
- Average velocity is obtained by dividing the total displacement by the total time elapsed.
- The total time elapsed can be calculated by summing the time periods taken for each event: total time = 41.0 minutes + 15.0 minutes + 1.70 hours.
- Convert the units into a common format: total time = (41.0 / 60) hours + (15.0 / 60) hours + 1.70 hours.
- Calculate the total time: total time = (0.68333 + 0.25 + 1.70) hours.
- The total time elapsed is approximately 2.63333 hours.
- Finally, we can calculate the average velocity by dividing the total displacement (130 km) by the total time (2.63333 hours):
average velocity = 130 km / (2.63333 hours).
- The average velocity is approximately 49.41 km/h.

So, the answers are:
(a) The total displacement is 130 km.
(b) The average velocity is 49.41 km/h.