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A body is moving along a straight line traversed one third of the total distance with a velocity 4 m/sec in the first stretch. In the second stretch the remaining distance is covered with a velocity 2 m/sec for some time t0 and with 4 m/sec for the remaining time. If the average velocity is 3 m/sec, a)Find the time for which body moves with velocity a m/sec in second stretch. b)Find the range of average velocity (m/sec) for which the journey of the body as described , is possible.

A body is moving along a straight line traversed one third of the total distance with  a velocity 4 m/sec in the first stretch. In the second stretch the remaining distance is covered with a velocity 2 m/sec for some time t0 and with 4 m/sec for the remaining time. If the average velocity is 3 m/sec,
a)Find the time for which body moves with velocity a m/sec in second stretch.
b)Find the range of average velocity (m/sec) for which the journey of the body as described , is possible.

Grade:11

1 Answers

Arun
25750 Points
3 years ago
Let the total distance be “x”.
So 
Given for half the time the remaining distance is covered with speed 
Hence Distance
For second half of distance to be covered speed is  = 5 m/s
So Distance 
Average speed = 
 

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