Calculate the joggers average velocity

In summary, for the canoeist to arrive at a position directly opposite to his starting position, he should head in a direction with a y component of 2.65 km and an x component of 3.8 km. The trip will take him approximately 0.03 hours.For the jogger, the displacement is 9.12 km(N 16 degrees E) and the average velocity is 4.56 km/h (N 16 degrees E).
  • #1
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A canoeist wants to travel straight across a river that is 0.10 km wide. However, there is a strong current moving downstream with a velocity of 3.0km/h. The canoeist can maintain a velocity realitive to the water of 4.0km/h.
a) In what diretion should the canoeist head to arrive at a position on the other shore directly opposite to his starting position?
b) How Long will the trip take him?
AND
A jogger runs 15km(N 35 degrees E) and then runs 7.5 km (N 25 degrees W) It takes a total of 2.0 hours to run,
a)determine the displacement of the jogger
b)calculate the joggers average velocity
(I have to break this one into x and y components but I just can't seem to get it right).
 
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  • #2
For the canoist, call x the axis across the river, and y the axis going parallel to the river. What must be the y component of the canoe? How can you then solve for the x component?

For b, what are the standard trig formulae for x and y components?
 
  • #3
First one:
c²=a²+b²
4²=3²+b²
16-9=b²
b=2.65

Tan= opp/adj
tan=3/4
=o.75*tan-1
=37 degrees
answer is suppose to be 41

Second one:
x components:12.29+(-3.17)=9.12
y components=8.60+6.79=15.39
83.1744+236.8521=c²
320.0265=c²
c=18

answer is suppose to be 2.0*10¹ km(N 16 degrees east)
 

1. What is the formula for calculating average velocity?

The formula for average velocity is distance divided by time, or v = d/t.

2. What is the difference between average velocity and instantaneous velocity?

Average velocity is the total displacement divided by the total time, while instantaneous velocity is the velocity at a specific moment in time.

3. Can you calculate average velocity for a non-uniform motion?

Yes, average velocity can be calculated for both uniform and non-uniform motion. In non-uniform motion, the average velocity is the average of all the instantaneous velocities during a given time interval.

4. How do you interpret a negative average velocity?

A negative average velocity indicates that the object is moving in the opposite direction of the chosen positive direction. For example, if the positive direction is to the right, a negative average velocity means the object is moving to the left.

5. What are the units for average velocity?

The units for average velocity are distance divided by time, so they would be in meters per second (m/s) or any other equivalent unit of length divided by time.

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