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数学

[填空题]
An airplane is travemhg huo : t(,k11lc( xalpsod ,0d3hv4ling )n b-)ludzs-)usj60hp 8saq( 0zbzx f $735 \mathrm{~km} / \mathrm{h}$ 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) $\Delta d_{\text {north}} $=    $\Delta d_{\text {west}}$ =   

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})\left(\cos 41.5^{\circ}\right)=550 \mathrm{~km} / \mathrm{h} \quad v_{\text {west }}=(735 \mathrm{~km} / \mathrm{h})\left(\sin 41.5^{\circ}\right)=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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