Problem 7.7

จาก \(\vec{s} = Δ\vec{r}\)

\(\vec{s} = \vec{r}_{f}- \vec{r}_{i}\)

îk̂îk̂

\(\vec{s} = (14.0 + 12.0 m) - 0 = 14.0 + 12.0 m\)

จาก\(\vec{s}=\vec{u}t+\frac{1}{2}\vec{a}t^{2}\)

\(\vec{a} =\frac{2(\vec{s} - \vec{u}t)}{t^{2}}\)

\(\vec{a} =\frac{2((14.0î  + 12.0k̂) - (4.00î  + 2.00k\hat{m}/s)(2.00 s))}{(2.00 s)^{2}}\)

îk̂

\(\vec{a} = 3.00 + 4.00 m/s^{2}\)

\(|\vec{a}| =\sqrt{(3.00)^{2} + (4.00)^{2}}m/s^{2}\)

\(|\vec{a}| = 5.00 m/s^{2} \;\blacksquare\)