11판/2. 직선운동

2-14 할리데이 11판 솔루션 일반물리학

짱세디럭스 2023. 6. 28. 01:18
{t1=1.12[s]=Time at hmaxt2=6.00[s]=Time at Grounda=g=9.80665[m/s2] \begin{cases} t_1 &= 1.12\ut{s} &=\text{Time at }h_{\max}\\ t_2 &= 6.00\ut{s} &=\text{Time at Ground}\\ a&=-g&=-9.80665\ut{m/s^2} \end{cases} (a)\ab{a} v=v0+at,v=v_0+at, v0=vat=0(g)t1=9.80665[m/s2]1.12[s]=1372931125000[m/s]=10.983448[m/s]11.0[m/s] \begin{aligned} v_0&=v-at\\ &=0-(-g)t_1\\ &=9.80665\ut{m/s^2}\cdot1.12\ut{s}\\ &=\frac{1372931}{125000}\ut{m/s}\\ &=10.983448\ut{m/s}\\ &\approx11.0\ut{m/s} \end{aligned} (b)\ab{b} S=vt12at2,S=vt-\frac{1}{2}at^2, hmax=(0)t12(g)(1.12[s])2=96105171562500[m]=6.15073088[m]6.15[m] \begin{aligned} h_{\max}&=(0)t-\frac{1}{2}(-g)(1.12\ut{s})^2\\ &=\frac{9610517}{1562500}\ut{m}\\ &=6.15073088\ut{m}\\ &\approx6.15\ut{m} \end{aligned} (c)\ab{c} S=v0t+12at2,S=v_0t+\frac{1}{2}at^2, H=v0t+12at2=(10.983448[m/s])(6.00[s])+12(g)(6.00[s])2=27654753250000[m]=110.619012[m]111[m] \begin{aligned} -H&=v_0t+\frac{1}{2}at^2\\ &=(10.983448\ut{m/s})(6.00\ut{s})+\frac{1}{2}(-g)(6.00\ut{s})^2\\ &=-\frac{27654753}{250000}\ut{m}\\ &=-110.619012\ut{m}\\ &\approx -111\ut{m}\\ \end{aligned} Ans=H111[m]\Ans = H\approx 111\ut{m}