Question

A particle starts from point A and moved in straight line, it covers half the dist with speed v , and another half with V calculate the the average speed.​

Answer 1

Explanation:

If The half distance (x) covered with the speed v

1

in t

1

time.

Using formula of speed, v

1

=

t

1

x

so, t

1

=

v

1

x

And another half distance (x), covered with speed v

2

in time t

2

.

so, v

2

=xt

2

t

2

=

v

2

x

Average Velocity=

Total time

Total distance

Total time=t

1

+t

2

=

v

1

x

+

v

2

x

=

v

1

v

2

(v

2

∗x+v

1

∗x)

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=

(

v

1

∗v

2

v

2

x+v

1

x

)

2x

V=

(v

1

+v

2

)

2v

1

v

2