14. A circular track has a circumference of 3140 mwith AB as one of it

1.	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» Answer: Given, Circumference of circular track=2=3140m where r=radius of circle Now according to question,Scooter moves from a to b along the circular path (where AB is diameter).It means scooter completes half a revolution(circumference/2). So, Distance travelled=The actual path traversed by scooter=2/2=3140/2=1570 m Again, Displacement=The SHORTEST distance travelled by scooter(FINAL position-Initial position)=Diameter of the circle=2r Since 2=3140m (here =3.14) 2r=3140/3.14=1000 m. To calculate the time TAKEN by the scooter in reaching from a to b,we have a formula Speed=Distance/Time Time=Distance/Speed=1570/10=157 seconds.

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»

Answer:

Given,

Circumference of circular track=2=3140m

where r=radius of circle

Now according to question,Scooter moves from a to b along the circular path (where AB is diameter).It means scooter completes half a revolution(circumference/2).

So,

Distance travelled=The actual path traversed by scooter=2/2=3140/2=1570 m

Again,

Displacement=The SHORTEST distance travelled by scooter(FINAL position-Initial position)=Diameter of the circle=2r

Since 2=3140m (here =3.14)

2r=3140/3.14=1000 m.

To calculate the time TAKEN by the scooter in reaching from a to b,we have a formula

Speed=Distance/Time

Time=Distance/Speed=1570/10=157 seconds.

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