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A car is moving towards east with a speed of 25km/h. To the driver of the car, a busappears to move towards north with a speed of 25 3 / km h . What is the actual velocity of the bus?1) 050 / ,30 km h east of north 2) 050 / ,30 km h north of east3) 025 / ,30 km h east of north 4) 025 / ,30 km h north of east |
| Answer» <html><body><p>the car is moving towards east with a speed of 25 km/h. To the <a href="https://interviewquestions.tuteehub.com/tag/driver-959749" style="font-weight:bold;" target="_blank" title="Click to know more about DRIVER">DRIVER</a> of the car, a <a href="https://interviewquestions.tuteehub.com/tag/bus-404097" style="font-weight:bold;" target="_blank" title="Click to know more about BUS">BUS</a> appears to <a href="https://interviewquestions.tuteehub.com/tag/move-548879" style="font-weight:bold;" target="_blank" title="Click to know more about MOVE">MOVE</a> towards north with a speed of </p><p>25</p><p>√</p><p>3</p><p>k</p><p>m</p><p>/</p><p>h</p><p>. What is the actual velocity of the bus?</p><p>A</p><p>50</p><p>k</p><p>m</p><p>/</p><p>h</p><p>,</p><p>30</p><p>o</p><p> east of north</p><p>B</p><p>50</p><p>k</p><p>m</p><p>/</p><p>h</p><p>,</p><p>30</p><p>o</p><p> north of east</p><p>C</p><p>25</p><p>k</p><p>m</p><p>/</p><p>h</p><p>,</p><p>30</p><p>o</p><p> east of north</p><p>D</p><p>25</p><p>k</p><p>m</p><p>/</p><p>h</p><p>,</p><p>30</p><p>o</p><p> north of east</p><p>Solution</p><p>V</p><p>b</p><p>= velocity of bus</p><p>V</p><p>c</p><p>= velocity of car</p><p>V</p><p>b</p><p>c</p><p>=</p><p>25</p><p>√</p><p>3</p><p>k</p><p>m</p><p>/</p><p>h</p><p>r</p><p></p><p>now from relative velocity</p><p>|</p><p>→</p><p>V</p><p>b</p><p>|</p><p> = </p><p>√</p><p>(</p><p>25</p><p>)</p><p>2</p><p>+</p><p>(</p><p>25</p><p>√</p><p>3</p><p>)</p><p>2</p><p>= 50km/hr</p><p>for <a href="https://interviewquestions.tuteehub.com/tag/direction-1696" style="font-weight:bold;" target="_blank" title="Click to know more about DIRECTION">DIRECTION</a> </p><p>t</p><p>a</p><p>n</p><p>θ</p><p>=</p><p>25</p><p>√</p><p>3</p><p>25</p><p>=</p><p>√</p><p>3</p><p>so </p><p>′</p><p>θ</p><p>′</p><p> is from east direction </p><p>Therefore it will be at 30' east of north</p><p>Hence (A) is correct</p></body></html> | |