Question

A body of mass m moving along a straight line covers half the distance with a speed of 2m/s. The
remaining half of the distance is covered in two equal time intervals with a speed of 3m/s and
5m/s respectively, the average speed of the particle for the entire journey is
​

Answer 1

Answer:

Let the total distance travelled by the body is 2s.If t

1

is the time taken by the body to travel first half of the distance ,then

t

1

=

2

S

Let t

2

be the time taken by the body for each time interval for the remaining hal journey.

S=3t

2

+5t

2

=8t

2

So, average speed =

totaltimetaken

totaldistancetravelled

=

t

1

+2t

2

2S

=

2

S

+

4

S

2S

=

3

8

ms

−1