Two cars approach each other; both cars are moving westward, one at 78 km/h, the other at 64km/h.
A) what is the velocity of the first car relative to (in the frame of reference of) the second car?
B)after the pass, will their relative velocity change?
A) 14
B) no
A) The velocity of the first car relative to the second car is simply the difference between their speeds. So, the velocity of the first car relative to the second car is 78 km/h - 64 km/h, which equals 14 km/h westward.
B) After the pass, their relative velocity will no longer be 14 km/h westward since they will be moving in opposite directions. The relative velocity will be the sum of their speeds, which means the relative velocity will be 78 km/h + 64 km/h, resulting in 142 km/h westward.
A) To find the velocity of the first car relative to the second car, we subtract the velocity of the second car from the velocity of the first car.
Velocity of first car = 78 km/h (westward)
Velocity of second car = 64 km/h (westward)
Relative velocity of first car relative to the second car = Velocity of first car - Velocity of second car
Relative velocity = 78 km/h - 64 km/h = 14 km/h (westward)
Therefore, the velocity of the first car relative to the second car is 14 km/h westward.
B) No, after the pass, their relative velocity will not change. The relative velocity only depends on the initial velocities of the two cars. As long as the initial velocities remain the same, the relative velocity between the two cars will not change.
To find the relative velocity of the first car with respect to the second car, you need to subtract their velocities. Since both cars are moving in the same direction (westward), you subtract the speeds.
A) Velocity of first car relative to the second car:
Relative velocity = Velocity of first car - Velocity of second car
Given:
Velocity of first car = 78 km/h (moving westward)
Velocity of second car = 64 km/h (moving westward)
Relative velocity = 78 km/h - 64 km/h
Relative velocity = 14 km/h
Therefore, the first car's velocity relative to the second car is 14 km/h (westward).
B) After the pass, their relative velocity will change. Initially, the relative velocity was 14 km/h (westward) because the first car was moving faster than the second car. But after the pass, the relative velocity will become zero, assuming they both maintain the same speed after passing each other. This is because both cars will now be moving in the same direction with the same speed, resulting in no relative motion between them.