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A car accelerate from 0 to 30 m/s in 5 second then continue at 30 metre per second for 10 second and finally decelerates uniformly 0 meter per second in the next 5 second. what is the average velocity of car over the entire 20 second period?
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A car accelerate from 0 to 30 m/s in 5 second then continue at 30 metr...
To calculate the average velocity of the car over the entire 20-second period, we can break down the motion into three distinct phases.
1. Acceleration Phase (0 to 5 seconds)
- The car accelerates from 0 m/s to 30 m/s in 5 seconds.
- The average velocity during this phase can be calculated as:
- (Initial velocity + Final velocity) / 2 = (0 + 30) / 2 = 15 m/s
- The distance covered during this phase:
- Distance = Average velocity × Time = 15 m/s × 5 s = 75 meters
2. Constant Velocity Phase (5 to 15 seconds)
- The car travels at a constant speed of 30 m/s for 10 seconds.
- The distance covered during this phase:
- Distance = Speed × Time = 30 m/s × 10 s = 300 meters
3. Deceleration Phase (15 to 20 seconds)
- The car decelerates uniformly from 30 m/s to 0 m/s in 5 seconds.
- The average velocity during this phase:
- (Initial velocity + Final velocity) / 2 = (30 + 0) / 2 = 15 m/s
- The distance covered during this phase:
- Distance = Average velocity × Time = 15 m/s × 5 s = 75 meters
4. Total Distance and Total Time
- Total distance covered = Distance (Acceleration) + Distance (Constant) + Distance (Deceleration) = 75 + 300 + 75 = 450 meters
- Total time = 20 seconds
5. Average Velocity Calculation
- Average velocity = Total distance / Total time
- Average velocity = 450 meters / 20 seconds = 22.5 m/s
Thus, the average velocity of the car over the entire 20-second period is 22.5 m/s.
1. Acceleration Phase (0 to 5 seconds)
- The car accelerates from 0 m/s to 30 m/s in 5 seconds.
- The average velocity during this phase can be calculated as:
- (Initial velocity + Final velocity) / 2 = (0 + 30) / 2 = 15 m/s
- The distance covered during this phase:
- Distance = Average velocity × Time = 15 m/s × 5 s = 75 meters
2. Constant Velocity Phase (5 to 15 seconds)
- The car travels at a constant speed of 30 m/s for 10 seconds.
- The distance covered during this phase:
- Distance = Speed × Time = 30 m/s × 10 s = 300 meters
3. Deceleration Phase (15 to 20 seconds)
- The car decelerates uniformly from 30 m/s to 0 m/s in 5 seconds.
- The average velocity during this phase:
- (Initial velocity + Final velocity) / 2 = (30 + 0) / 2 = 15 m/s
- The distance covered during this phase:
- Distance = Average velocity × Time = 15 m/s × 5 s = 75 meters
4. Total Distance and Total Time
- Total distance covered = Distance (Acceleration) + Distance (Constant) + Distance (Deceleration) = 75 + 300 + 75 = 450 meters
- Total time = 20 seconds
5. Average Velocity Calculation
- Average velocity = Total distance / Total time
- Average velocity = 450 meters / 20 seconds = 22.5 m/s
Thus, the average velocity of the car over the entire 20-second period is 22.5 m/s.
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A car accelerate from 0 to 30 m/s in 5 second then continue at 30 metre per second for 10 second and finally decelerates uniformly 0 meter per second in the next 5 second. what is the average velocity of car over the entire 20 second period?
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A car accelerate from 0 to 30 m/s in 5 second then continue at 30 metre per second for 10 second and finally decelerates uniformly 0 meter per second in the next 5 second. what is the average velocity of car over the entire 20 second period? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A car accelerate from 0 to 30 m/s in 5 second then continue at 30 metre per second for 10 second and finally decelerates uniformly 0 meter per second in the next 5 second. what is the average velocity of car over the entire 20 second period? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car accelerate from 0 to 30 m/s in 5 second then continue at 30 metre per second for 10 second and finally decelerates uniformly 0 meter per second in the next 5 second. what is the average velocity of car over the entire 20 second period?.
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