Question

Como resolver esta questão? ( Somente a questão 2).

Answer 1

a)

$\vec{v_x}^{\,}= 6 \hat{i} \ \text{m/s}\\\vec{v_y}^{\,} = 8 \hat{j} \ \text{m/s}\\\vec{v}^{\,} = \vec{v_x}^{\,} + \vec{v_y}^{\,}\\\vec{v}^{\,} = 6 \hat{i} + 8 \hat{j} \ \text{m/s}$

b)

$|\vec{v}^{\,}| = \sqrt{|\vec{v_x}^{\,}|^2 + |\vec{v_y}^{\,}|^2}\\\vec{v}^{\,} = \sqrt{6^2 + 8^2} = \sqrt{100} = 10 \ \text{m/s}$

c)

$\theta = \arctan (\frac{\vec{v_y}^{\,}}{\vec{v_x}^{\,}})\\\theta = \arctan(\frac{8}{6}) = 53,13 \textdegree$