A body moves with a uniform velocity of 4m/s starting it's journey t=0. Another body starting from rest moves with acceleration 1m/s from the same point at t=0. When and where the two bodies will meet ?
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- When the two bodies will meet.
- initial velocity of 1st body is 4m/s
- acceleration of 2nd body is 1m/s²
Velocity of 1st body = 4m/s
Acceleration of 2nd body = 1m/s²
Distance covered by 1st body:-
As we know that,
✯ V = s/t
➻ 4 = S/t
➻ 4t = S1
➻ S1= 4t .....1)
♦︎ Distance covered by 2nd body :-
As we know that,
✯S = ut + ½at²
➳S2 = 0 + ½× 1 × t²
➳S2 = t²/2 ....2)
♦︎ When they meet
From (1) and (2)
♦︎ S1 = S2
➳4t = t²/2
➳ 8 = t
- v = s/t
➻ s = v × t
➻ s = 4 × 8
➻ s = 32m
Hence
The two bodies will meet at 32m .
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