Question

Two particles start moving along the same straight line at the same moment from the same point. The first moves with constant velocity u and second with
constant acceleration 'a' The greatest distance between the particles before they meet once again is

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Answer 1

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Physics

Motion in a Straight Line

Graphs in Relative Motion

Two particles move in the s...

PHYSICS

Two particles move in the same straight line starting at the same moment from the same point in the same direction. The first moves with constant velocity u and the second starts from rest with constant acceleration f. Then

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October 15, 2019

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Mèhér Siddique

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ANSWER

Let S be the distance between the particles at time t

Particle 1 is x

1

=u

Particle 2 is x

2

=

2

1

ft

2

Then, S=x

1

−x

2

=ut−

2

1

ft

2

..... (i)

For S being maximum

dt

dS

=0⟹u−ft=0

⟹t=

f

u

Substituting t in (i) we get

S=u

f

u

−

2

1

f(

f

u

)

2

=

2f

u

2

Hence, they will be at the greatest distance and greatest distance is

2f

u

2