Distance Displacement Speed And Velocity

Speed is a scalar quantity because it only considers the magnitude of the motion, while velocity is a vector quantity because it considers both magnitude and direction of the motion. Scalar quantities have only magnitude, such as distance or time, while vector quantities have both magnitude and direction, such as displacement or velocity. Therefore, the difference between velocity and speed lies in the fact that speed is a scalar while velocity is a vector.

A flat, non-sloping line on a distance-time graph indicates that there is no change in the distance over time. This means that the object is not moving and therefore has no speed.

The cyclist is traveling at a speed of 25km/h because they cover a distance of 125km in 5 hours. To calculate the speed, we divide the total distance by the total time taken, which gives us 25km/h.

The snail is crawling for 45 seconds at a speed of 0.1 cm/s. To find the distance traveled, we can multiply the speed by the time. 0.1 cm/s * 45 s = 4.5 cm. Therefore, the snail travels a distance of 4.5 cm.

If Line A has a steeper slope than Line B on a distance-time graph, it indicates that Object A covers a greater distance in a shorter amount of time compared to Object B. This suggests that Object A has a greater speed than Object B.

A vector quantity differs from a scalar in that a vector always includes magnitude and direction. Unlike a scalar, which only has magnitude (such as distance or time), a vector has both magnitude (size or amount) and direction. This means that a vector not only tells us the quantity or value but also the direction in which it is acting or moving.

The journey from Winnipeg to Austin is 200km. If the train travels at 100km/h, it will cover a distance of 200km in 2 hours. This is because the time taken to complete a journey is equal to the distance divided by the speed. In this case, 200km divided by 100km/h equals 2 hours. Therefore, the journey will take 2.0 hours.

A curved line on a Distance-Time graph represents a change in speed over time. If the line is getting steeper, it means that the speed is increasing at a faster rate, indicating acceleration. Acceleration is the rate at which an object's velocity changes, either by speeding up or slowing down. Therefore, the correct answer is acceleration.

The sprinter runs the 200m at a speed of 8.6m/s. To find the time taken to complete the race, we can use the formula: time = distance / speed. Plugging in the values, we get time = 200m / 8.6m/s = 23.3s. Therefore, it takes the sprinter 23.3 seconds to complete the race.

An upward, straight sloping line on a distance-time graph indicates constant speed because the distance covered is increasing at a steady rate over time. If the line was sloping upwards but becoming steeper, it would indicate speeding up. If the line was sloping upwards but becoming less steep, it would indicate slowing down. However, since the line is straight and upward, it suggests that the object is moving at a constant speed. The graph does not provide information about going uphill or downhill, only the rate at which the distance is changing over time.

The plane is traveling at a speed of 600km/h. To find the distance it will travel in 3 hours and 15 minutes, we need to convert the minutes to hours. 15 minutes is equivalent to 0.25 hours. So, the total time is 3.25 hours. To find the distance, we multiply the speed by the time: 600km/h * 3.25h = 1950km. Therefore, the correct answer is 1950km.

A flat, non-sloped line on a Velocity-Time graph represents constant speed because the velocity of an object remains unchanged over time. This means that the object is moving at a consistent rate without speeding up or slowing down. The flat line indicates that the object is maintaining a steady velocity throughout the given time period, indicating constant speed.