A particle moves along a semi circular path of radius R in time t with constant speed. For the particle, calculate the distance travelled, displacement, avg speed, avg velocity and avg acceleration.

Hi,

1.Distance travelled is the path covered by the body along the semi circular track = πR

 

2.Displacement is shortest distance between the initial and final position = 2R

 

3.Average speed = πR/t

 

Velocity is vector quantity therefore its magnitude and direction must be considered when calculating average.

Average velocity = (initial velocity + final velocity)/2

Now, here in this problem the direction of initial and final velocity are opposite but the magnitude is same. Therefore, suppose initial velocity is v then final velocity will be –v since both are in opposite direction.

Average velocity = (v+ (-v))/2=0

 

5.Average acceleration is accordingly is also zero.

 

Hope this helps,

Good luck.