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Solve 20 numerical on distance and displacement, average velocity and 3 equation of motion?
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Solve 20 numerical on distance and displacement, average velocity and ...
Distance and Displacement
- Distance is the total length covered by an object, irrespective of its direction.
- Displacement is the change in the position of an object from its initial position to its final position in a specific direction.
Numerical Examples:
- A car travels 10 km north, then turns and travels 5 km east. What is the total distance and displacement covered by the car?
- A person walks 5 m east and then 3 m west. What is the total distance and displacement covered by the person?
Total distance covered = 10 km + 5 km = 15 km
Displacement = √(10² + 5²) = √125 km ≈ 11.2 km (in a northeast direction)
Total distance covered = 5 m + 3 m = 8 m
Displacement = 5 m - 3 m = 2 m (in the east direction)
Average Velocity
- Average velocity is the ratio of total displacement to total time taken.
- It is a vector quantity and has both magnitude and direction.
Numerical Examples:
- A car travels 40 km north in 2 hours and then 60 km south in 3 hours. What is the average velocity of the car?
- A person walks 10 m north in 2 seconds and then 5 m east in 1 second. What is the average velocity of the person?
Total displacement = 40 km - 60 km = -20 km (in the south direction)
Total time taken = 2 hours + 3 hours = 5 hours
Average velocity = (-20 km / 5 hours) = -4 km/h (in the south direction)
Total displacement = √(10² + 5²) = √125 m ≈ 11.2 m (in a northeast direction)
Total time taken = 2 seconds + 1 second = 3 seconds
Average velocity = (11.2 m / 3 seconds) ≈ 3.73 m/s (in a northeast direction)
Equations of Motion
- There are three equations of motion that relate the displacement, velocity, acceleration, and time of an object in motion under constant acceleration.
- These equations are:
- v = u + at
- s = ut + 1/2 at²
- v² = u² + 2as
where v is final velocity, u is initial velocity, a is acceleration, and t is time.
where s is displacement, u is initial velocity, a is acceleration, and t is time.
where v is final velocity, u is initial velocity, a is acceleration, and s is displacement.
Numerical Examples:
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Solve 20 numerical on distance and displacement, average velocity and ...
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Solve 20 numerical on distance and displacement, average velocity and 3 equation of motion?
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Solve 20 numerical on distance and displacement, average velocity and 3 equation of motion? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Solve 20 numerical on distance and displacement, average velocity and 3 equation of motion? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve 20 numerical on distance and displacement, average velocity and 3 equation of motion?.
Solve 20 numerical on distance and displacement, average velocity and 3 equation of motion? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Solve 20 numerical on distance and displacement, average velocity and 3 equation of motion? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve 20 numerical on distance and displacement, average velocity and 3 equation of motion?.
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