Two cars are driving toward each other on a straight, flat Kansas road. The Jeep Wrangler is traveling at 84 km/h north and the Ford Taurus is traveling at 43 km/h south, both measured relative to the road. What is the velocity of the Jeep relative to an observer in the Ford?
To find the velocity of the Jeep relative to an observer in the Ford, we need to consider their velocities and directions.
The velocity of the Jeep Wrangler relative to the road is given as 84 km/h north, and the velocity of the Ford Taurus relative to the road is given as 43 km/h south.
To find the velocity of the Jeep relative to the Ford, we can subtract the velocity of the Ford from the velocity of the Jeep.
Since the velocity of the Jeep is in the north direction and the velocity of the Ford is in the south direction, we need to make sure the velocities are aligned. We can convert the velocity of the Ford to the north direction by changing its sign.
Therefore, the velocity of the Jeep relative to the Ford is:
84 km/h (Jeep's velocity) - (-43 km/h) (Ford's velocity) = 84 km/h + 43 km/h = 127 km/h
So, the velocity of the Jeep relative to an observer in the Ford is 127 km/h north.
To find the velocity of the Jeep relative to an observer in the Ford, we need to consider their velocities and directions.
Since the Jeep is traveling north and the Ford is traveling south, their velocities have opposite directions. We can subtract the magnitude of the Ford's velocity from the Jeep's velocity to find the relative velocity.
Given:
Velocity of the Jeep (Vjeep) = 84 km/h (north)
Velocity of the Ford (Vford) = 43 km/h (south)
To find the relative velocity (Vrel), we subtract the magnitude of Vford from Vjeep, and then consider the direction:
Vrel = Vjeep - Vford
Magnitude of Vrel = |Vjeep| - |Vford|
Magnitude of Vrel = 84 km/h - 43 km/h
Magnitude of Vrel = 41 km/h
Direction of Vrel = North (since Vjeep is traveling north and the Ford is south)
Therefore, the velocity of the Jeep relative to an observer in the Ford is 41 km/h north.