A car travels 60 km north in 2 hours, then 40 km south in the next 1 hour. What is the car’s average velocity over the entire trip?
6.7 km/h north
To find the average velocity of the car over the entire trip, we need to consider the net displacement and the total time taken. Let’s break down each part of the journey:
- The car first travels 60 km north in 2 hours. This gives a velocity of \(\frac{60 \text{ km}}{2 \text{ hr}} = 30 \text{ km/hr north}\).
- Next, the car travels 40 km south in 1 hour. This gives a velocity of \(\frac{40 \text{ km}}{1 \text{ hr}} = 40 \text{ km/hr south}\).
- To find the net displacement, we consider the directions:
- North is considered positive (+), and south is negative (-).
- The displacement from the initial position is \(60 \text{ km north} - 40 \text{ km south} = 20 \text{ km north}\).
- The total time for the journey is \(2 + 1 = 3 \text{ hours}\).
- The average velocity is calculated using the formula:
\(\text{Average Velocity} = \frac{\text{Net Displacement}}{\text{Total Time}}\)- Substitute the values: \(\frac{20 \text{ km north}}{3 \text{ hr}} = 6.67 \text{ km/hr north}\).
Therefore, the car’s average velocity over the entire trip is approximately 6.7 km/h north.
Conclusion: The correct answer is 6.7 km/h north.
Let us now rule out the option choices:
- 33.3 km/h north: This would imply a much higher average that doesn't match our calculated 6.7.
- 20 km/h south: This implies a net southward direction, which is incorrect because the net displacement was northward.
- 0 km/h: This implies no net displacement, which is incorrect as there's a 20 km displacement north.
Similar Questions
Which of the following statements correctly describes average velocity and its SI unit?
A car travels on a highway, and its odometer records a reading of 180 km at 8:00 am and 240 km at 9:30 am. Based on this information, which statement best describes the car's average speed during this interval?
A car travels 90 km east and then 30 km west along the same straight road. If the entire journey takes 3 hours, what is the average velocity of the car?
Which of the following best describes the function of a speedometer in a vehicle?
A cyclist travels 120 km in 3 hours, rests for 1 hour, and then travels another 80 km in 2
hours. To determine the cyclist's average speed for the entire journey, which of the
following quantities should be used?
A cyclist rides 60 meters north, then 80 meters south, and finally 70 meters north. What
is the total distance the cyclist has traveled?
A car travels from point A to point B in a zigzag path, covering a total distance of 200 meters. If the shortest straight-line distance between A and B is 120 meters, which statement best describes the car’s distance and displacement?
Important Questions from Speed and Velocity
The given equation provides the property of the motion of an object, traversing a circular path. What is ‘v’ in this equation?
ac = v2/R
The basic unit of speed of an object is ______.
Which of the following quantities specifies its speed with direction?
- Which of the following represents non-uniform linear velocity?
- Which of the following describes the nature of the average speed?
