9303753286127016 The displacement of a particle is given by x=(t−2)2 where x is in metres and t is in seconds. The distance covered by the particle in first 4 seconds is

The displacement of a particle is given by x=(t−2)2 where x is in metres and t is in seconds. The distance covered by the particle in first 4 seconds is

 The distance travelled is given by x=(t−2)= t2–4t+4

As velocity is given by v = dx/dt

v=2t−4

Distance covered=∫∣v∣dt

=∣t2–4t∣

=4t−t2 for t= 0 to2

=t2−4t for t=2 to 4

= 8 units

Balkishan Agrawal

At the helm of GMS Learning is Principal Balkishan Agrawal, a dedicated and experienced educationist. Under his able guidance, our school has flourished academically and has achieved remarkable milestones in various fields. Principal Agrawal’s vision for the school is centered on providing a nurturing environment where every student can thrive, learn, and grow.

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