Burt and ned paddle their canoe 10 miles upstream and 5 miles downstream in 7 hours. if they can paddle 4 mph in calm water, how
1 answer:
The current flow is 2.4mph.
To find the answer, we have to know about the streamline flow.
<h3>How to find the rate of flow of current?</h3>The boat's speed will reduce by V miles per hour if it is moving upstream because the current, which moves at a speed of V miles per hour, will be pressing against it. The boat moves downstream at a pace of Vp-V miles per hour as a result. However, if the boat is moving downstream, the current will be pushing it faster, increasing the boat's speed by V miles per hour. The boat's downstream speed as a result is Vp+V miles per hour.
where; Vp is the paddling speed in calm water.
- It is given that, upstream distance is 10 miles, and downstream is 5 miles in 7 hours.
- Thus, the time taken for downstream is,
, where; S is distance and v is speed.
- Similarly, the time taken for upstream is,
- The total time taken is,
- From this, the velocity of current is,
Thus, we can conclude that, the current flow is 2.4mph.
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Answer:
3.59 m/s
Explanation:
The average velocity is defined as:
The turtle first walks 18m south, and then is taken 1,1Km (or 1100m) north. Thus, the total displacement is 1082m north (1100m north - 18m south).
Now we have to calculate the total time, which will be equal to the sum of the time the turtle walked and the time it was taken by truck.
The walking time is 3.5 minutes. Since 1 minute = 60 seconds, then the walking time is 210 seconds.
To calculate the truck time we use the equation:
Time =
Where the distance the truck travelled is 1100m and the speed of the truck is 12m/s.
Thus,
Truck time= = 91.67s
The total time is the sum of the walking time and the truck time.
Total time = 210s + 91.67s = 301.67s.
As mencioned previously, the average velocity is equal to total displacement/ total time, thus:
Average velocity = = 3.59 m/s North
Since the average velocity is a vector, it has a magnitude and a direction. In this case the magnitude is 3.59 m/s and the direction is north since the turtle's final displacement is north of where it started.