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?
Hi do you go to heritage high? LOL
To determine the resultant velocity of the lightning bug, we need to find the vector sum of the bug's velocity and the velocity of the wind.
Given that the bug's velocity is 0.25 m/s due east and the wind is blowing at a velocity of 0.25 m/s, we can represent these velocities as vectors:
Bug's Velocity: 0.25 m/s due east (→)
Wind's Velocity: 0.25 m/s due east (→)
Since both velocities are acting in the same direction (east), you would draw both vectors going in the same direction. So, you would draw both vectors eastward.
To find the resultant velocity, we add the two vectors together.
0.25 m/s (→) + 0.25 m/s (→)
To add the vectors, place them head-to-tail, which means you draw the second vector starting from the endpoint of the first vector. After drawing both vectors, draw a new vector connecting the initial point of the first vector to the endpoint of the second vector. This new vector is the resultant velocity.
In this case, you would draw the second vector from the endpoint of the first vector, both going eastward. Then, draw a new vector connecting the initial point of the first vector to the endpoint of the second vector.
The resultant velocity would be the distance and direction of this new vector. In this case, the resultant velocity would be 0.50 m/s (→) due east.