karen is running forward at a speed of 9 m/s. she tosses her sweaty headband backward at a speed of 20 m/s…

karen is running forward at a speed of 9 m/s. she tosses her sweaty headband backward at a speed of 20 m/s. the speed of the headband, to the nearest whole number relative to a stationary observer watching karen, is m/s.

karen is running forward at a speed of 9 m/s. she tosses her sweaty headband backward at a speed of 20 m/s. the speed of the headband, to the nearest whole number relative to a stationary observer watching karen, is m/s.

Answer

Answer:

11

Explanation:

Step1: Define velocities

Let the forward - direction be positive. Karen's velocity $v_{K}=9\ m/s$, and the velocity of the head - band relative to Karen $v_{hK}=- 20\ m/s$.

Step2: Use relative - velocity formula

The formula for relative velocity is $v_{h}=v_{hK}+v_{K}$.

Step3: Substitute values

Substitute $v_{hK}=-20\ m/s$ and $v_{K}=9\ m/s$ into the formula: $v_{h}=-20 + 9=-11\ m/s$. The negative sign indicates the direction is backward, and the speed (magnitude of velocity) is 11 m/s.