an athlete starts running along a circular track of radius at a speed of 5 metre per second in clockwise direction for 40 seconds then the athletes reverse direction and runs in a anticlockwise direction 3 metres per second for 100 sec at the end . displacement of the runner from the starting point is
A. 84.15 m
B. 83 m
C. 80 m
D. 85 m
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Solution :-
given that,
→ S1 = 5 m/s
→ T1 = 40 seconds .
so,
→ D1 = S1 * T1 = 5 * 40 = 200 m (In clockwise direction)
and,
→ S2 = 3 m/s
→ T2= 100 seconds .
so,
→ D2 = S2 * T2 = 3 * 100 = 300 m . (In anti clockwise direction) .
then,
→ The displacement of the runner from the starting point = + 200 + (-300) = 200 - 300 = (-100) = 100 m (In anti clockwise direction) .
therefore, required displacement is 100 m .
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