A cyclist starts from the centre O of a circular park of radius 1km , reaches the edge P of the park , then cyclesalongthe circumference and returns to the centre along QO as shown in figure . If the round trip takes 10 min. what is the (a) net displacement . (b) average velocity and (c) average speed of the cyclist ?

A cyclist starts from the centre O of a circular park of radius 1km ,

1.	A cyclist starts from the centre O of a circular park of radius 1km , reaches the edge P of the park , then cyclesalongthe circumference and returns to the centre along QO as shown in figure . If the round trip takes 10 min. what is the (a) net displacement . (b) average velocity and (c) average speed of the cyclist ?
Answer» Solution :(a) Net displacement =zero as initial and final POSITION of the cyclist is same (b) Average VELOCITY `=("Net displacement")/("Total time taken")`=zero (c) Total distance travelled `=OP+PQ+QO` `=OP+1//4(2pir)+QO` `=(1+1+(1)/(4)xx2xx(22)/(7)xx1)`km `=(25)/(7)km` Average speed `=("Total path LENGTH")/("Total timetaken")` `=(25//7)/(10//60)km H^(-1)` `=21.43 km h^(-1)` .