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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.
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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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