Final answer:
Average speed is the total distance traveled divided by the total time taken. The average speed for the bus journey is 40 km/h. Uniform motion refers to equal distances covered in equal time intervals. An example is a car moving at a constant speed. Non-uniform motion refers to unequal distances covered in equal time intervals. An example is a car driving through traffic with changing speeds.
Step-by-step explanation:
1. A. Average speed is defined as the total distance traveled divided by the total time taken.
B. To calculate the average speed for the entire journey, we can use the formula: Average speed = Total distance / Total time. In this case, the bus travels a distance of 120 km with a speed of 40 km/h and returns with a speed of 30 km/h. So, the total distance is 240 km (120 km + 120 km) and the total time is 6 hours (3 hours + 3 hours). Dividing the total distance by the total time, we get an average speed of 40 km/h.
2. Uniform motion refers to motion in which the object covers equal distances in equal intervals of time. An example of uniform motion is a car moving at a constant speed on a straight road. Non-uniform motion refers to motion in which the object covers unequal distances in equal intervals of time. An example of non-uniform motion is a car driving through city traffic, where its speed keeps changing.
3. A. Displacement is the change in position of an object from its initial position to its final position. In this case, the car travels from stop A to stop B and then returns back to A. Since the initial and final positions are the same (stop A), the displacement is zero. B. Distance traveled by the car is the total length of the path it covers. In this case, the car travels from stop A to stop B and then returns back to A. So, the distance is twice the distance between stop A and stop B.
4. Acceleration is the rate of change of velocity. To calculate acceleration, we use the formula: Acceleration = (Final velocity - Initial velocity) / Time. In this case, the car accelerates from 6 m/s to 16 m/s in 10 seconds. Plugging in the values, we get an acceleration of 1 m/s^2. A. Average speed is calculated using the formula: Average speed = Total distance / Total time. However, since the question only provides information about acceleration and time, we cannot calculate the average speed without additional information. B. Distance covered by the car can be calculated using the formula: Distance = Initial velocity * Time + (1/2) * Acceleration * Time^2. Plugging in the values, we can find the distance covered.
5. Speed is a scalar quantity that measures how fast an object is moving, without considering the direction. Velocity is a vector quantity that measures the rate of change of displacement, taking into account both the speed and direction of motion. A body is said to have uniform velocity when it is moving in a straight line with a constant speed.
To describe the position of an object, we need to specify its distance and direction from a reference point. For example, we can describe the position of a car by stating that it is 2 km east of a certain landmark.
6. No, two objects cannot be at the same distance from a single point while being in different positions. Distance is a scalar quantity that only measures the separation between two objects without considering their direction or position. Therefore, objects at the same distance from a single point will be at the same position.
7. Distance is the total length of the path traveled by an object, irrespective of direction. It is a scalar quantity. Displacement is the change in position of an object, including its direction. It is a vector quantity.
8. No, the magnitude of the displacement of an object from its original position cannot exceed the total distance moved. Displacement is the shortest distance between the initial and final positions of an object, taking into account both distance and direction. Therefore, the magnitude of displacement will always be less than or equal to the total distance moved by the object.
9. No, the average speed can never equal the magnitude of the average velocity. Average speed is a scalar quantity that only considers the total distance traveled divided by the total time taken, without considering direction. Average velocity, on the other hand, is a vector quantity that takes into account both the total displacement and the total time taken. Since velocity includes direction, its magnitude (speed) can never be greater than or equal to the average speed without direction.
Learn more about Average speed, Uniform and non-uniform motion, Displacement, Distance, Speed and velocity