particle moves along. straight line with speed v=t-2ms find out distance traveled in i. first 4 seconds
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GiveN :
- v = (t - 2) m/s
To FinD :
- Distance travelled in 4s
SolutioN :
⇒v = dx/dt
⇒t -2 = dx/dt
⇒dx = (t - 2).dt
Integrate both sides
⇒∫dx = ∫(t - 2).dt
⇒x = ∫t.dt - ∫2.dt
⇒x = t²/2 - 2t + C
Put t = 4
⇒x = 4²/2 - 2(4) + C
⇒x = 16/2 - 8 + C
⇒x = 8 - 8 + C
⇒x = (0 + C)m.
- Where C is constant of integration
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