Jesse travels 3.0 meters east and then turns and travels 4.0 meters north. The trip requires 35 seconds. What is his velocity?
0.14 m/s
0.14 m/s, northeast
5.0 m/s, northeast
5.0 m/s, southwest
velocity = displacement/time
He ends up 5 km from home, so
v = 5m/35s = 0.14 m/s
hmmm let's see ... he went east, then north, so that direction would be ...
To find the velocity, we need to calculate the total displacement and divide it by the total time taken. The displacement is the straight line distance between the starting point and ending point, measured in a straight line.
First, we need to find the total displacement:
- Jesse travels 3.0 meters east, so his displacement in the horizontal direction (x-axis) is +3.0 meters.
- Then, he turns and travels 4.0 meters north, so his displacement in the vertical direction (y-axis) is +4.0 meters.
- The total displacement is the square root of the sum of the squares of the horizontal displacement and vertical displacement.
Total displacement = √((3.0)^2 + (4.0)^2) = √(9.0 + 16.0) = √25.0 = 5.0 meters
The total time taken is given as 35 seconds.
Now, let's calculate the velocity:
Velocity = Total displacement / Total time taken
Velocity = 5.0 meters / 35 seconds = 0.14 meters per second
Therefore, Jesse's velocity is 0.14 m/s.
Since the displacement is positive in both the horizontal and vertical directions, we can also say that his velocity is northeast.
So the correct answer is:
- Jesse's velocity is 0.14 m/s, northeast.