Kinematics

Given the distance function: The velocity function is the derivative of the distance function: The particle comes to rest when the velocity is zero, so we set : We factor the quadratic equation: This gives us two possible times: Since time cannot be negative, we have second. Now, we find the distance traveled at second by substituting into the distance function: Therefore, the distance traveled by the particle when it comes to rest is 2 meters. Answer: 2