Question

6. The displacement of a particle is given by x=(t-2)² where x is in meters and t in seconds . The distance covered by the particle in the first four seconds is

(a) 4 m

(b) 8 m

(c) 12 m

(d) 16 m

​

Answer 1

Answer:

option 2 8units

Step-by-step explanation:

The distance travelled is given by x=(t−2)

2

=t

2

–4t+4

As velocity is given by v=

dt

dx

v=2t−4

Distance covered=∫∣v∣dt

=∣t

2

–4t∣

=4t−t

2

for t=0to2

=t

2

−4tfor t=2to4

=8units