gc physics textbook chapter 3 problems (id: eaa27c521)

本题目来源于试卷: gc physics textbook chapter 3 problems，类别为 IB物理学

[填空题]
An airplane is trave9snlc br0 /9xsqkb71fo9dd4vya43lx ng 0*5jtgiq;mling $735\mathrm{km}/\mathrm{h}$ in a direction ${41.5}^{\circ }$ west of north (Fig. 3-31). (a) Find the components of the velocity vector in the northerly and westerly directions. (b) How far north and how far west has the plane traveled after 3.00 h ?(a ) $v_{\text{north }}$=   $v_{\text{west }}$=    (b) $\mathrm{\Delta }{d}_{\text{north}}$=    $\mathrm{\Delta }{d}_{\text{west}}$ =   

参考答案:
空格1: 550±2%  空格2: 487±2%  空格3: 1650±2%  空格4: 1460±2% 


本题详细解析:

(a) $v_{\text{north }}=(735\mathrm{km}/\mathrm{h})(\cos {41.5}^{\circ })=550\mathrm{km}/\mathrm{h}{v}_{\text{west }}=(735\mathrm{km}/\mathrm{h})(\sin {41.5}^{\circ })=487\mathrm{km}/\mathrm{h}$ 

(b)

$\begin{array}{l}

\Delta d_{\text {north }}=v_{\text {north }} t=(550 \mathrm{~km} / \mathrm{h})(3.00 \mathrm{~h})=1650 \mathrm{~km} \

\Delta d_{\text {west }}=v_{\text {west }} t=(487 \mathrm{~km} / \mathrm{h})(3.00 \mathrm{~h})=1460 \mathrm{~km}

\end{array}$

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