Three elephants A,B,C are moving along a straight line with constant speed.When B catches C the separation between A and C becomes 3d. Find the speed B?
Asked by Babulal
2nd October 2018,
2:06 PM
Answered by Expert
Answer:
Consider A and C
The initial displacement between AC is 2D
The final displacement between AC is 3D
Therefore, net displacement is 3D-2D = 1D
The relative velocity =Vc - V A = 5 m/s
We use the formula Velocity = Displacement/time to find the time taken for B and C to meet.
Vc - V A = net displacement / time (t)
5 = D/t
Thus, t = D/5 ... (1)
Now considering A and B
Initial displacement between A and B = D
Final displacement between A and B = 3D
Total displacement between A and B = 3D - D = 2D
Using (1) we have time (t) = D/5
Thus
VAB = Total displacement between A and B / time (t)
VAB = 2 D / (D/5) = 10 m/s
Therefore, VB = 10 + VA = 10+5 = 15 m/s
Answered by Expert
3rd October 2018,
2:51 PM
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