Verified answer

Answer:

Speed = 62.8 m/s and velocity = 56.56 m/s

Explanation:

• Radius of circular path is 400 m.

• Boy covers 1/4th of the circular path in 10 seconds.

To Find:

• Speed and velocity.

Formula used:

• Speed = Distance/Time

• Velocity = Displacement/Time

Solution:

For the the quarter circle, we have

Distance = πr/2 m

Distance = 3.14 x 400/2

Distance = 628 m....(1)

Displacement = r√2

Displacement = 400√2

Displacement = 400 x 1.414

Displacement = 565.6 m....(2)

Using the above formula, we have

Speed = (1)/10

Speed = 628/10

Speed = 62.8 m/s

Velocity = (2)/10

Velocity = 565.6/10

velocity = 56.56 m/s

So, speed = 62.8 m/s and velocity = 56.56 m/s

Additional information:

• Distance is the length of actual path travelled by a body.

• Displacement is the shortest path between final and initial point.