A particle moves in east direction with 15 M per second for 2 seconds ...
Calculation of Average Speed of a Particle
The problem statement provides information about the particle's velocity in the East and North direction. By using this information, we can calculate the average speed of the particle.
Step 1: Calculate the Total Distance Travelled
We can calculate the total distance travelled by the particle using the formula:
Total Distance Travelled = Distance Travelled in East Direction + Distance Travelled in North DirectionDistance Travelled in East Direction = Velocity in East Direction x Time in East Direction
Distance Travelled in East Direction = 15 m/s x 2 s = 30 m
Distance Travelled in North Direction = Velocity in North Direction x Time in North Direction
Distance Travelled in North Direction = 5 m/s x 8 s = 40 m
Total Distance Travelled = 30 m + 40 m = 70 m
Step 2: Calculate the Total Time Taken
The total time taken by the particle can be calculated by adding the time taken in the East and North directions.
Total Time Taken = Time Taken in East Direction + Time Taken in North DirectionTotal Time Taken = 2 s + 8 s = 10 s
Step 3: Calculate the Average Speed
The average speed of the particle can be calculated using the formula:
Average Speed = Total Distance Travelled / Total Time TakenAverage Speed = 70 m / 10 s = 7 m/s
Conclusion
Therefore, the average speed of the particle is 7 m/s.