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Background of the study Both distance and displacement are terms used in the study of motion. Each has its own meaning. Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion. The total length covered by moving body or the entire path that the object travelled. Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position. Displacement refers to the shortest distance between the object's two positions, like the distance between its point of origin and its point of destination, no matter what path it took to get to that destination. Speed can be defined as "how fast something moves" or it can be explained more scientifically as "the distance covered in a unit of time". We use a symbol S to show speed. To calculate the value of speed it is calculated as distance/ time. The unit used in determining the speed are m/s, km/hr, mi/hr and m/hr. Velocity can be defined as "speed having direction". It is a vector quantity having both magnitude and direction. Velocity can be defined as the "rate of change of displacement" whereas "the speed is rate of change of distance" Formula of Speed: Note: distance Speed = 1. Be careful with the units. time Distance or d can be in cm, m, miles or km. Time or t should be in S = seconds or hours. 2. Convert the units if needed. Example, meters should always be paired with seconds, km and miles with hour.if it reached the 100 mark in just 9 s in a race? 2. How fast is the runner GIVEN: FORMULA : SOLUTION : 3. How far does a ball roll if it rolls at a speed of 4 m/s for 24 s? GIVEN: FORMULA : SOLUTION :Solution: distance Speed = time Example. Pedro walks 3 km in 1.5 hours. How fast is Pedro? 3 km Speed = 1.5 h Speed = 2km/h = 50 m + 30 m Average Speed= Total distance traveled A dog runs 50 m for 2 s and another 30 m for 5 s. What is the average 2s+8s Time Interval speed of the dog? = 80 m 10 s = 8 m/s Formula of Velocity: Note: displacement 1. Displacement is distance with direction. Velocity = time Example 5m, North or 5m, right 2. The unit of velocity is speed with direction. V = Example, 25 m/s, right or 100 km/h, East Solution: displacement Velocity = time Example. A cyclist rode his bike 40 km to the 40km, West west within 2 hours. What is the velocity of the Velocity= 2 hours cyclist? Speed = 20km/h. West Quantity Formula Example Computation Average Velocity= Displacement A dog runs 50 m to the = 50 m, North + 30 m, East Time Interval North for 2 s and another 2s+ 8 s 30 m to the East for 5 s. What is the average = 80 m velocity of the dog? 10 s = 8 m/s, East Acceleration= Change in Velocity A motorcycle drives at 50 100m/s - 50m/s m/s to 100 m/s within 5 Time Interval 5 s seconds. Compute the acceleration of the 50m/s motorcycle. 5 s =10m/s2IFACT OR BLUFF Directions: Write Fact if the statement describes distance or lisplacement, and write Bluff, if the statement does not describe Distance or displacement. Write your answer on the space provided. FACT 1. Distance is the total length travelled by a moving object. 2. Displacement is a vector quantity that has both magnitude and direction. 3. Distance is a scalar quantity since it indicates magnitude only. 4. Distance has direction. 5. Displacement is equal to the distance travelled by an object. 6. Displacement refers to the measure of how far an object. PERFORMANCE TASK HOW FAR I'LL GO? Directions: Identify the total distance and displacement based from the illustrations 1. 50 meters School Friend's house 50 meters 50 meters 50 meters Your house Friend's house (Reference point) Displacement= Distance=