How Fast Must a Car Travel in the Second Half of a Journey to Average 60 km/h?

  • Thread starter Loppyfoot
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In summary, to average a speed of 60 km/h over a 200-km journey, a car must travel at a rate of 50 km/h for the first 100 km and then at a rate of 75 km/h for the second 100 km. This can be found by finding the total time, t, equal to 200 km/60 km/h, then using t1 = 100/50 s to find the time for the first 100 km and t2 = 100/v s to find the time for the second 100 km, and finally solving for v using the average velocity equation.
  • #1
Loppyfoot
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Homework Statement


A car making a 200-km journey travels 50 km/h for the first 100 km. How fast must the car go in the second 100 km to average 60 km/h?


Homework Equations


There is the average velocity equation, and also the average speed equation.
(delta x)/(delta t) = average velocity
average speed = total distance/total time


The Attempt at a Solution


50 = 100/t
to get the time? Do I need to do that?
Then should I do the same for the next one?
 
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  • #2
t1 = 100/50 s
t2 = 100/v s
Total distance is given.
Average velocity is given. Total time t = t1 + t2.
Substitute these values in the relevant equation to find v.
 
  • #3
Ok, so ,
t1 = 2s
t2 = 100/v s

The total distance is 200km. The average velocity for the 2nd portion is 60km/h. I do not have t2, because I don't have v. I am confizzled.
 
  • #4
Total time t = 200m/60 km/h.
t1 is known. Find t2. Then find v.
 

What is the difference between average speed and average velocity?

The main difference between average speed and average velocity is that speed is a scalar quantity, meaning it only has magnitude, while velocity is a vector quantity, meaning it has both magnitude and direction. Average speed is calculated by dividing the total distance traveled by the total time taken, while average velocity is calculated by dividing the total displacement (change in position) by the total time taken.

How is average speed/velocity different from instantaneous speed/velocity?

Average speed/velocity is calculated over a period of time, while instantaneous speed/velocity is measured at a specific moment in time. Average speed/velocity takes into account the total distance or displacement and total time, while instantaneous speed/velocity only looks at the speed or velocity at a specific point in time.

Can average speed/velocity be negative?

Yes, average speed/velocity can be negative. This occurs when the object is moving in the opposite direction from the positive direction that was chosen as the reference. For example, if an object moves 10 meters west and then 5 meters east, its average velocity would be -5 meters per second (m/s).

How is average speed/velocity affected by changes in speed or direction?

If an object is constantly changing its speed or direction, the average speed/velocity will be different from the instantaneous speed/velocity at any given point. This is because average speed/velocity takes into account the overall displacement or distance traveled, while instantaneous speed/velocity only looks at one specific moment in time.

Why is it important to calculate average speed/velocity?

Calculating average speed/velocity can help scientists understand and analyze the motion of an object over a period of time. It can also be used to compare the speeds or velocities of different objects, and to make predictions about future motion. Average speed/velocity is an important concept in physics and is used in many real-world applications such as sports, transportation, and engineering.

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