Question

a person covers same distance with U1 , U2 and U3 velocity. find average velocity​

Answer 1

Answer:

The equation is simple to derive.

Case 1: When a Body covers distance lets say ‘D’ with speed ‘v1’ time taken can calculated by the following formula.

t1 = D/v1 , ……(1)

Case 2: When a Body covers distance lets say ‘D’ with speed ‘v2’ time taken can calculated by the following formula.

t2 = D/v2 , ……(2)

Case 3: When a Body covers distance lets say ‘D’ with speed ‘v3’ time taken can calculated by the following formula.

t3 = D/v3 , ……(3)

Adding up all the three statements we can get the total time taken by the body which comes out to be

t1 + t2 + t3 ;

or D/v1 + D/v2 + D/v3 ……..(4)

And the total distance covered by the body can be easily calculated as 3D.

So Applying the formula of Average velocity or speed,

Average velocity = Total distance covered/ Total Time Taken the body

Average velocity = 3D / (D/v1 + D/v2 + D/v3)

Solving out the equation results comes out to be:

(3 * v1 * v2 * v3) / (v1v2 + v2v3 + v3v1)

Explanation: