Calculate the resultant of the pair of velocities 100km/h north and 75 km/h south. Calculate the resultant if both of the velocties are directed north.
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175km/h
Nonsense, Joshua, they are in opposite directions. The resultant is 25km/hr North
To calculate the resultant of a pair of velocities, you need to take into consideration their directions and magnitudes. The resultant is the vector sum of the velocities.
In the first scenario:
1. The first velocity of 100 km/h is directed north.
2. The second velocity of 75 km/h is directed south.
To calculate the resultant, we need to subtract the velocity directed south from the velocity directed north, since they are in opposite directions.
Resultant = 100 km/h (north) - 75 km/h (south)
To perform the subtraction, we need to consider their magnitudes and directions. Since they are in opposite directions, we can simply subtract the magnitudes:
Resultant = 100 km/h - 75 km/h
Resultant = 25 km/h (north)
Therefore, the resultant velocity of the pair of velocities 100 km/h north and 75 km/h south is 25 km/h north.
In the second scenario:
1. Both velocities are directed north - 100 km/h north and 75 km/h north.
To calculate the resultant, we need to add the velocities since they are in the same direction.
Resultant = 100 km/h (north) + 75 km/h (north)
To perform the addition, we simply add the magnitudes:
Resultant = 100 km/h + 75 km/h
Resultant = 175 km/h (north)
Therefore, the resultant velocity of the pair of velocities when both are directed north is 175 km/h north.