Velocity and acceleration of a particle at time t = 0 are u→=(2i^+3j^) m/s and a→=(4i^+2j^) m/s2 respectively. Find the velocity and displacement of particle at t = 2s.

a→=(4i^+2j^) m/s2v→=(2i^+3j^)+(2)(4i^+2j^)=(10i^+7j^) m/ss→=(2)(2i^+3j^)+12(2)2(4i^+2j^)=(12i^+10j^) m

a→=(4i^+2j^) m/s2v→=(2i^+3j^)+(2)(4i^+2j^)=(10i^+7j^) m/ss→=(2)(2i^+3j^)+12(2)2(4i^+2j^)=(12i^+10j^) m

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Velocity and acceleration of a particle at time t = 0 are $\vec{u} = (2 \hat{i} + 3 \hat{j}) m / s$ and $\vec{a} = (4 \hat{i} + 2 \hat{j}) m / s^{2}$ respectively. Find the velocity and displacement of particle at t = 2s.

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$(12 \hat{i} + 10 \hat{j}) m / s, (10 \hat{i} + 7 \hat{j}) m$

$(10 \hat{i} + 7 \hat{j}) m / s, (12 \hat{i} + 10 \hat{j}) m$

$(20 \hat{i} - 10 \hat{j}) m / s, (10 \hat{i} - 7 \hat{j}) m$

$(10 \hat{i} - 7 \hat{j}) m / s, (12 \hat{i} - 10 \hat{j}) m$

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$\vec{a} = (4 \hat{i} + 2 \hat{j}) m / s^{2}$

$\vec{v} = (2 \hat{i} + 3 \hat{j}) + (2) (4 \hat{i} + 2 \hat{j}) = (10 \hat{i} + 7 \hat{j}) m / s$

$\vec{s} = (2) (2 \hat{i} + 3 \hat{j}) + \frac{1}{2} (2)^{2} (4 \hat{i} + 2 \hat{j}) = (12 \hat{i} + 10 \hat{j}) m$

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