Hot air balloon A is rising upward at a rate of 10.0 m/s. A passenger aboard balloon A observes balloon B going down at a relative rate of 12.5 m/s. What is the velocity of balloon B relative to the ground? Assume that up is positive.
ā2.5 m/s
2.5 m/s
22.5 m/s
-22.5 m/s
To solve this problem, we need to understand the concept of relative velocity. The relative velocity refers to the velocity of an object with respect to another object. In this case, we need to find the velocity of balloon B relative to the ground.
Given:
Velocity of balloon A (rising upward) = 10.0 m/s
Relative rate of balloon B (going down with respect to balloon A) = 12.5 m/s
To find the velocity of balloon B relative to the ground, we need to subtract the velocity of balloon A (rising) from the relative rate of balloon B (going down).
Velocity of balloon B relative to the ground = Relative rate of balloon B - Velocity of balloon A
Let's calculate that:
Velocity of balloon B relative to the ground = 12.5 m/s - 10.0 m/s
Velocity of balloon B relative to the ground = 2.5 m/s
Therefore, the velocity of balloon B relative to the ground is 2.5 m/s.
The correct answer is: 2.5 m/s.