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14. A circular track has a circumference of 3140 mwith AB as one of its diameter. A scooterist movesfrom A to B alone the circular path with a uniformspeed of 10 m/s. Find(a) distance covered by the scooterist,(b) displacement of the scooterist, and(c) time taken by the scooterist in reaching fromA to B. |
Answer» <html><body><p><strong>Answer:</strong></p><p>Given,</p><p>Circumference of circular track=2=3140m</p><p>where r=radius of circle</p><p>Now according to question,Scooter moves from a to b along the circular path (where <a href="https://interviewquestions.tuteehub.com/tag/ab-360636" style="font-weight:bold;" target="_blank" title="Click to know more about AB">AB</a> is diameter).It means scooter completes half a revolution(circumference/2).</p><p>So,</p><p>Distance travelled=The actual path traversed by scooter=2/2=3140/2=1570 m</p><p>Again,</p><p>Displacement=The <a href="https://interviewquestions.tuteehub.com/tag/shortest-642834" style="font-weight:bold;" target="_blank" title="Click to know more about SHORTEST">SHORTEST</a> distance travelled by scooter(<a href="https://interviewquestions.tuteehub.com/tag/final-461168" style="font-weight:bold;" target="_blank" title="Click to know more about FINAL">FINAL</a> position-Initial position)=Diameter of the circle=2r</p><p>Since 2=3140m (here =3.14)</p><p>2r=3140/3.14=1000 m.</p><p>To calculate the time <a href="https://interviewquestions.tuteehub.com/tag/taken-659096" style="font-weight:bold;" target="_blank" title="Click to know more about TAKEN">TAKEN</a> by the scooter in reaching from a to b,we have a formula</p><p>Speed=Distance/Time</p><p>Time=Distance/Speed=1570/10=157 seconds.</p><p></p><p></p><p></p></body></html> | |