A motorist drives north for 33.0 minutes at 77.0 km/h and then stops for 15.0 minutes. He then continues north, traveling 130 km in 1.80 h.
a) What is his total displacement in km?
b) What is his average velocity km/h?
33 * 77 + 130
answer to a divided by (1.80+ 33/60)
To answer these questions, we need to understand a few key concepts:
1. Displacement: Displacement refers to the change in position of an object, usually measured in a straight line from the starting point to the ending point.
2. Average velocity: Average velocity is the displacement divided by the total time taken. It tells us the object's overall motion and direction.
Now let's calculate:
a) To find the total displacement, we need to determine the net displacement during each leg of the trip and then add them up.
First, the distance covered during the first leg of the trip (33.0 minutes at 77.0 km/h) can be calculated using the formula:
Distance = (Time * Speed)
Converting the time to hours: 33.0 minutes = 33.0 / 60 hours
Distance = (33.0 / 60) * 77.0 km/h
Next, during the second leg of the trip (1.80 hours at 130 km/h), we can calculate the distance in the same way:
Distance = 1.80 * 130 km/h
Finally, we can calculate the total displacement by adding up the two distances calculated:
Total displacement = Distance (Leg 1) + Distance (Leg 2)
b) The average velocity can be calculated by dividing the total displacement by the total time taken. We can use the formula:
Average velocity = Total displacement / Total time
Now, let's calculate the answers for both parts of the question:
a) Total displacement:
Distance (Leg 1) = (33.0 / 60) * 77.0 km/h
Distance (Leg 2) = 1.80 * 130 km/h
Total displacement = Distance (Leg 1) + Distance (Leg 2)
b) Average velocity:
Average velocity = Total displacement / Total time
Substitute the values into the formulas and calculate the answers.