A jogger travels a route that has two parts. The first is a displacement A of 2.95 km due south, and the second involves a displacement B that points due east. If the resultant displacement A+B has magnitude 4.13 km, what is the magnitude of B?
Im not sure if i just do 4.13-2.95 or if it is more complicated than that??
To find the magnitude of displacement B, you need to understand vector addition. In this case, you have a displacement A of 2.95 km due south and a resultant displacement A+B with a magnitude of 4.13 km.
The magnitude of a vector refers to its length, ignoring its direction. So, to find the magnitude of B, you need to find the difference between the magnitudes of the resultant vector and A.
Here's how you can calculate it step by step:
1. First, calculate the magnitude of A by taking the absolute value of its displacement, since magnitude cannot be negative. In this case, the magnitude of A is 2.95 km.
2. Since the resultant displacement A+B has a magnitude of 4.13 km, subtract the magnitude of A from the resultant displacement: 4.13 km - 2.95 km.
3. Perform the subtraction: 4.13 km - 2.95 km = 1.18 km.
Therefore, the magnitude of displacement B is 1.18 km.