Displacement and Velocity Problem

Click For Summary
SUMMARY

The discussion centers on calculating the required speed for a car to average 50 km/h over a 100-km journey, where the first 50 km is traveled at 40 km/h. The solution involves determining the total time needed for the journey, which is 2 hours, and then calculating the speed for the second half of the trip. After establishing that the first half takes 1.25 hours, the remaining time for the second half is 0.75 hours, leading to a required speed of 66.67 km/h for the last 50 km.

PREREQUISITES
  • Understanding of average speed calculations
  • Familiarity with distance, rate, and time relationships
  • Basic algebra for solving equations
  • Knowledge of unit conversions (if necessary)
NEXT STEPS
  • Study the concept of average speed and its calculations
  • Learn about the distance formula: d = rt
  • Explore problems involving two-part journeys in physics
  • Review time management in travel scenarios
USEFUL FOR

This discussion is beneficial for students studying physics or mathematics, particularly those tackling motion problems, as well as educators looking for examples of average speed calculations in real-world contexts.

Loppyfoot
Messages
192
Reaction score
0

Homework Statement


A car making a 100-km journey travels 40 km/h for the first 50 km. How fast must it go during the second 50 km to average 50 km/h?


Homework Equations





The Attempt at a Solution


I calculated the time to travel the first 50km at 40km/h, to take 1.25 hours. So it take 1.25 hours to drive 50km at 40km/h. So I need to find how fast it must go during the second 50km to average 50km/h. I am confused. Is this a two-part problem?
 
Physics news on Phys.org
Loppyfoot said:
Is this a two-part problem?

Hi Loppyfoot! :smile:

Well, it's a two-part solution :wink:

first find what the total time must be to average 50 km/h, and then find how fast the last half has to be.

What do you get? :smile:
 
Alright, I think I have seemed to have gotten it; with the little catalyst you provided.
If the first half take 1.25 hours, the last half must take 0.75 hours. I then used d=rt, and plugged in:
50km = r(0.75hours)
r = 66.67 km/hour

Thanks!
 

Similar threads

Replies
4
Views
1K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
Replies
17
Views
1K
  • · Replies 4 ·
Replies
4
Views
3K