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`        A particle moves on a straight line in such a way it covers 1st half distance with speed 3m/s and next half distance in two equal time intervals with speed 4.5m/s and 7.5m/s respectively. Find average speed of the particle.`
one year ago

Arun
23044 Points
```							 let total distance of path is S ...   for first half , time taken if t speed = distance/time 3 = S/2t t = S/6      .............1   for second half , time taken is T ... for first  T/2 it moves with 4.5 speed = distance/time 4.5 = 2x/T  x = 4.5T/2   ...........2 for second T/2 it moves with 7.5 7.5 = 2y/T y = 7.5T/2       ..........3 we have , x+y = S/2so (7.5+4.5)T = S/2 T = S/24        ...............4 total time taken during its motion is T+t  Ttotal = T+t = S/24+S/6 = 5S/24 total distance = S average speed = total distance/total time = S/5S/24 = 24/5 = 4.8m/s
```
one year ago
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