Two particles are moving along positive x-axis, Particle-1 is ahead of particle-2. The initial
velocities of particle-1 and particle-2 are 5m/s and 10m/s respectively. The acceleration of
particle-1 and particle-2 are 5m/s2 and 8m/s and are along positive x-axis. The initial gap
between the particles is 16 metres. The time as which they meet one another is
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11th
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