10판/4. 2차원운동과 3차원운동

4-17 할리데이 10판 솔루션 일반물리학

짱세디럭스 2020. 7. 3. 02:45
{a=6.0i^3.0j^[m/s2]v0=12.0i^+18.0j^[m/s]\begin{cases} \vec a&=6.0\i-3.0\j\ut{m/s^2}\\ \vec v_0&=12.0\i+18.0\j\ut{m/s}\\ \end{cases} v=v0+at=12.0i^+18.0j^+(6.0i^3.0j^)t[m/s]=(12.0+6.0t)i^+(18.03.0t)j^[m/s] \begin{aligned} \vec v&=\vec v_0+\vec a t\\ &=12.0\i+18.0\j+(6.0\i-3.0\j)t\ut{m/s}\\ &=(12.0+6.0t)\i+(18.0-3.0t)\j\ut{m/s}\\ \end{aligned} vy=18.03.0t=0v_y=18.0-3.0t=0 t=6[s]t=6\ut{s} v6=(12.0+6.06)i^+(18.03.06)j^[m/s]=48i^[m/s] \begin{aligned} \vec v_6&=(12.0+6.0\cdot6)\i+(18.0-3.0\cdot6)\j\ut{m/s}\\ &=48\i\ut{m/s} \end{aligned}