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The position of a particle moving along x axis is given by X= t2-6t where x is in metrrs and t is in seconds calculate average speed in 5 seconds.?
Most Upvoted Answer
The position of a particle moving along x axis is given by X= t2-6t wh...
Calculating Average Speed in 5 seconds

To calculate the average speed of a particle moving along the x-axis, we need to find the total distance traveled by the particle in 5 seconds and divide it by the time taken.

Step 1: Calculate the distance traveled by the particle in 5 seconds.

To find the distance traveled by the particle in 5 seconds, we need to find the position of the particle at the beginning and end of the 5-second interval.

Let's find the position of the particle at the beginning and end of the 5-second interval:
- At t=0 seconds, the position of the particle is X=0 meters
- At t=5 seconds, the position of the particle is X=(5^2)-(6*5)=-5 meters

The distance traveled by the particle in 5 seconds is the absolute difference between the positions:
- Distance traveled=|0-(-5)|=5 meters

Step 2: Calculate the average speed of the particle in 5 seconds.

To find the average speed of the particle in 5 seconds, we need to divide the distance traveled by the time taken:
- Average speed=distance traveled/time taken
- Average speed=5/5=1 meter/second

Therefore, the average speed of the particle in 5 seconds is 1 meter/second.
Community Answer
The position of a particle moving along x axis is given by X= t2-6t wh...
V=dx/dt
V=d(t2-6t)/dt
V=2t-6
V=2(5)-6
10-6=4
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The position of a particle moving along x axis is given by X= t2-6t where x is in metrrs and t is in seconds calculate average speed in 5 seconds.?
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