A car travelling on a straight road in the same direction covers half a distance at a uniform velocity of 80 km/h and the other half of the distance travelling uniformly at 40 km/h. What is the magnitude of average velocity over the total period of motion?
Question
A car travelling on a straight road in the same direction covers half a distance at a uniform velocity of 80 km/h and the other half of the distance travelling uniformly at 40 km/h. What is the magnitude of average velocity over the total period of motion?
Solution
To solve this problem, we need to find the total distance covered, the total time taken, and then use these to calculate the average velocity.
Step 1: Let's assume the total distance covered is 2D (D for each half of the journey).
Step 2: The time taken to cover the first half of the journey (D) at 80 km/h is D/80 hours.
Step 3: The time taken to cover the second half of the journey (D) at 40 km/h is D/40 hours.
Step 4: The total time taken for the journey is the sum of the time taken for each half, which is D/80 + D/40 = 3D/80 hours.
Step 5: The average velocity is the total distance divided by the total time, which is 2D / (3D/80) = 160/3 km/h.
So, the magnitude of the average velocity over the total period of motion is 160/3 km/h or approximately 53.33 km/h.
Similar Questions
A car travels with a velocity of 80 km/h during the first half of its running time and then travels in the same direction at 40 km/h during the other half. Find the magnitude of the average velocity of the car.
A car moving at a speed of 50 km/hr, returns on the same route with a speed of 40 km/hr. What is the average speed?
A vehicle moves for half of its time at 80 km/h and for rest half of time at 40 km/h. Total distance covered is 60 km. What is the average speed of the car.A 60 km/h B 80 km/h C 120 km/h D 180 km/h
A car travels a total distance of 400 km. It covers the first half of the distance at a speed 40 km/h and the second half of the distance at speed v. If the average speed is 48 km/h, then the value of v in km/h is 60 km/h87 km/h79 km/h94 km/h
A man drives his car for 24 km at a speed of 48 km/h, and for the next 1.5 hours he drives at a speed of 80 km/h. Find his average speed (in km/h) for the entire journey.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.