Question #16210

Two aircraft p and q are flying at the same speed ,300m s^-1, the direction along which p is flying is at right angle to the direction along which q is flying .find the magnitude of the velocity of aircraft p relative to aircraft q.,,,,,,(hellllp if poassible lead to to graph too I have 5 hours to school to submit it
P.s ( are they goin the same direction or opposite I didn't get the right angle to q

Expert's answer

Two aircraft p and q are flying at the same speed, 300m s1300\mathrm{m}\ \mathrm{s}^{-1}, the direction along which p is flying is at right angle to the direction along which q is flying. Find the magnitude of the velocity of aircraft p relative to aircraft q

P.s ( are they going in the same direction or opposite I didn't get the right angle to q

Solution



the velocity of aircraft p relative to aircraft q VpVq=VpVq\overline{V_p - V_q} = \overline{V_p} - \overline{V_q} its magnitude


VpVq=Vp2+Vq22VpVqcosa=3002+30022300300cos90=424 m/s\begin{array}{l} \left| \overline{V_p - V_q} \right| = \sqrt{V_p^2 + V_q^2 - 2 V_p V_q \cos a} = \\ \sqrt{300^2 + 300^2 - 2 \cdot 300 \cdot 300 \cdot \cos 90} = 424\ \mathrm{m/s} \end{array}


P.s. (they are perpendicular to each other)

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