Question

a bicyclist is riding on a road next to a train. the train is traveling to the right at 43m/s (relative to the earth) and the bicyclist is traveling to the right at 11m/s (relative to the earth). from the perspective of a passenger on the train, what is the bicyclists speed and direction? m/s

Explanation:

Step1: Define relative - velocity formula

The formula for relative velocity is $v_{AB}=v_A - v_B$, where $v_{AB}$ is the velocity of object A relative to object B, $v_A$ is the velocity of object A with respect to the ground, and $v_B$ is the velocity of object B with respect to the ground. Here, let the velocity of the bicyclist be $v_{b}$ and the velocity of the train be $v_{t}$. We want to find the velocity of the bicyclist relative to the train, $v_{bt}=v_{b}-v_{t}$.

Step2: Substitute the given values

Given $v_{b} = 11m/s$ and $v_{t}=43m/s$. Then $v_{bt}=11 - 43=- 32m/s$.

Answer:

32; left