A lightning bug flies at a velocity of 0.25 m/s due east toward another lightning bug seen off in the distance. A light easterly breeze on the bug at a velocity of 0.25 m/s. What is the resultant velocity of the lightning bug?
I drew the .25 east but would I draw the vector for the other one west for the other bug? or east for the wind?
the resultant velocity would be 0.00 because you subtract one from the other.
0.0
To calculate the resultant velocity of the lightning bug, we need to consider the velocities of both the bug and the wind.
Since the bug is flying east at a velocity of 0.25 m/s, we can represent this velocity as a vector pointing to the right.
Now, considering the wind blowing in the east direction, we can represent this velocity as a vector pointing to the right as well, also at a velocity of 0.25 m/s.
To find the resultant velocity, we need to add these two vectors together. Since both vectors have the same magnitude and direction, we can simply add their magnitudes together.
So, the resultant velocity of the lightning bug is 0.25 m/s + 0.25 m/s = 0.5 m/s, in the east direction.
To find the resultant velocity of the lightning bug, you need to consider the velocities of both the bug and the wind. Let's break it down step by step:
1. Draw a vector representing the velocity of the bug. Since the bug is flying at a velocity of 0.25 m/s due east, draw an arrow pointing to the right (east) with a magnitude of 0.25 units.
2. Next, draw a vector representing the velocity of the wind. The wind is blowing with a velocity of 0.25 m/s, also in an easterly direction. Since it is blowing in the same direction as the bug, draw another arrow pointing to the right (east) with a magnitude of 0.25 units.
3. To find the resultant velocity, you need to add the two velocities together. Since both velocities are in the same direction (east), simply add their magnitudes: 0.25 m/s + 0.25 m/s = 0.5 m/s.
4. Finally, draw the resultant vector. Starting from the initial position of the bug vector, draw an arrow pointing to the right (east) with a magnitude of 0.5 units. This represents the resultant velocity of the bug, taking into account both its own velocity and the velocity of the wind.
So, the resultant velocity of the lightning bug is 0.5 m/s due east.