11판/2. 직선운동

2-45 할리데이 11판 솔루션 일반물리학

짱세디럭스 2024. 1. 17. 18:36
x=50t+10t2x=50t+10t^2 (a)\ab{a} vˉ03=ΣΔx03ΣΔt03=x(3)x(0)3=(240)(0)3[m/s]=80[m/s]=80.0[m/s] \begin{aligned} \bar v_{0\rarr3}&=\frac{\Sigma \Delta x_{0\rarr3}}{\Sigma \Delta t_{0\rarr3}}\\ &=\frac{x(3)-x(0)}{3}\\ &=\frac{(240)-(0)}{3}\ut{m/s}\\ &=80\ut{m/s}\\ &=80.0\ut{m/s}\\ \end{aligned} (b)\ab{b} v= ⁣dx ⁣dt= ⁣d ⁣dt(50t+10t2)=50+20t \begin{aligned} v&=\dxt{x}\\ &=\dt\(50t+10t^2\)\\ &=50+20t \end{aligned} a= ⁣dv ⁣dt= ⁣d ⁣dt(50+20t)=20 \begin{aligned} a&=\dxt{v}\\ &=\dt\(50+20t\)\\ &=20\\ \end{aligned} a(3.00)=20[m/s2]=20.0[m/s2] \begin{aligned} a(3.00)&=20\ut{m/s^2}\\ &=20.0\ut{m/s^2}\\ \end{aligned} (c)\ab{c} v(3.00)=50+20(3.00)=110[m/s]=1.10×102[m/s] \begin{aligned} v(3.00)&=50+20\cdot(3.00)\\ &=110\ut{m/s}\\ &=1.10\times10^2\ut{m/s}\\ \end{aligned}

(d)\ab{d}


(e)\ab{e}


(f)\ab{f}