A particle 𝑃 is at the origin starts with velocity 𝐯⃗ = (2𝐢̂− 4𝐣̂)ms −1 with constant acceleration (3𝐢̂− 5𝐣̂)ms −2 . After travelling for 2 s, its distance from the origin is

Question : A particle 𝑃 is at the origin starts with velocity 𝐯⃗ = (2𝐢̂− 4𝐣̂)ms −1 with constant acceleration (3𝐢̂− 5𝐣̂)ms −2 . After travelling for 2 s, its distance from the origin is

(A) 10 m

(B) 10.2 m

(C) 9.8 m

(D) 11.7 m

Answer : option (B)

Solution :

A particle 𝑃 is at the origin starts with velocity 𝐯⃗ = (2𝐢̂− 4𝐣̂)ms −1 with constant acceleration (3𝐢̂− 5𝐣̂)ms −2 . After travelling for 2 s, its distance from the origin is
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