Question

A body travels along a straight line with speed V¹ for time t¹ and other distance with speed V² for the t² in the same direction. Find the average speed of the body.

Answer 1

HERE IS THE SOLUTION;

◆Let, the total distance covered by the particle during the complete journey is 2x.

◆If The half distance (x) covered with the speed v1 in t1 time.

◆Using formula of speed, v1=x/t1

so, t1= x/v1

◆And another half distance (x), covered with speed v2 in time t2.

so, v2=x/t2

t2=x/v2

◆AVERAGE VELOCITY = Total distance /Total time

◆Total time= t1+t2 = x/v1 + x/v2

=(v2x+v1x)/v1v2

◆Total distance = x+x=2x

◆On putting the values of total distance and total time in the formula of average speed, we get

◆Average speed= 2x /(v2x+v1x / v1v2)

= 2v1v2 /(v1+v2)

HOPE IT HELPS