The displacement of a particle is given by x = (t-2)2 where x is in metres and t is seconds. The distance covered by the particle in first 4 seconds is a) 4 m b) 8 m c) 12 m d) 16 m
The distance travelled is given by x=(t−2)2=t2–4t+4 As velocity is given by v=dtdx v=2t−4 Distance covered=∫∣v∣dt =∣t2–4t∣ =4t−t2for t=0to2 =t2−4tfor t=2to4 =8units
