Hence, the displacement will be = 14.14 m Case II: Starting point is the middle point of any side of the field. In this case the farmer will be at the middle point of the opposite side of the field after 2 min 20 s. Therefore, the displacement will be equal to the side of the field, i.e., 10 m. For any other starting point, the displacement will be between 14.1 m and 10 m. Concept Insight: - Be careful about considering the cases, as the displacement in both the cases is different. (a) Not true Displacement can become zero when the initial and final positions of the object are the same. (b) Not true Displacement is the shortest distance between the initial and final positions of an object. It cannot be greater than the magnitude of the distance travelled by an object. However, sometimes, it may be equal to the distance travelled by the object. Concept Insight - Displacement is always less than or equal to the distance covered. Page-102. Velocity Speed is the distance travelled Velocity is the displacement of an object per by an object per unit time. It unit time. It has a unique direction. does not have any direction. Speed is a scalar quantity. Velocity is a vector quantity. The speed of an object can never The velocity of an object can be negative, be negative. At the most, it can positive, or to zero. This is because become zero. This is because displacement can take any of these three values.
Hence, the displacement will be = 14.14 m Case II: Starting point is the middle point of any side of the field. In this case the farmer will be at the middle point of the opposite side of the field after 2 min 20 s. Therefore, the displacement will be equal to the side of the field, i.e., 10 m. For any other starting point, the displacement will be between 14.1 m and 10 m. Concept Insight: - Be careful about considering the cases, as the displacement in both the cases is different. (a) Not true Displacement can become zero when the initial and final positions of the object are the same. (b) Not true Displacement is the shortest distance between the initial and final positions of an object. It cannot be greater than the magnitude of the distance travelled by an object. However, sometimes, it may be equal to the distance travelled by the object. Concept Insight - Displacement is always less than or equal to the distance covered. Page-102. Velocity Speed is the distance travelled by an object per unit time. It does not have any direction. Velocity is the displacement of an object per unit time. It has a unique direction. Speed is a scalar quantity. Velocity is a vector quantity. The speed of an object can never be negative. At the most, it can become zero. This is because The velocity of an object can be negative, positive, or to zero. This is because displacement can take any of these three values.
Ch-8-Motion.docx