Question

33. A particle starts moving along a straight line from rest and eines were som
of the total distance with uniform acceleration. Then it covers the next 13 ore
third) of the total distance with the velocity acquired during the first lap. Finally
is brought to stop over the remaining distance under constant unicam
deceleration. Find the ratio of the maximum speed of the parude to the average
speed of the particle over the entire journey.​

Answer 1

Answer:

Let the acceleration of the particle be a.

Initial speed of the particle u=0m/s

Distance travelled by it in first 3 seconds, X=ut+

2

1

at

2

where t=3 s

∴ X=0t+

2

1

a(3)

2

We get X=4.5a ....(1)

Velocity of the particle after t=3 s, v=u+at

∴ v=0+a(3)=3a

Distance covered by it next 3 seconds, Y=vt+

2

1

at

2

where t=3 s

∴ Y=(3a)3+

2

1

a(3)

2

=13.5a .....(2)

From (1) and (2), we get Y=3X