Q31 / 72 · NTA Abhyas (JEE Main) 2020 · Physics · Motion In Two Dimensions

The position vector of a particle is determined by the expression r→=2t2i^+3tj^+9k^. The magnitude of its displacement (in m) in first two seconds is

Correct answer: 10

Solution

r→=2t2i^+3tj^+9k^
At t=0,r1→=9k^
At t=2s,r2→=8i^+6j^+9k^
∴ Δr→=r2→-r1→=8i^+6j^
∴Δr→=r2→-r1→=82+62=10m

Hence, the correct answer is 10.

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