Question

A boy starts from a point A, travels to a point B at a distance of 1.5 km and returns to A. If he takes one hour to do so, his average velocity is
(a) 3 km/h
(b) zero
(c) 1.5 km/h
(d) 2 km/h​

Answer 1

${\large{\mathbb{\bf{\red{\underline{GIVEN :}}}}}}$

A boy starts from a point A, travels to a point B at a distance of 1.5 km and returns to A.

￣￣￣￣￣￣￣￣￣￣￣￣

${\large{\mathbb{\blue{\bf{\underline{TO FIND :}}}}}}$

Find the average velocity of the boy.

￣￣￣￣￣￣￣￣￣￣￣￣

${\large{\mathbb{\orange{\bf{\underline{FORMULA \: USED :}}}}}}$

${\blue{\maltese{\pink{\boxed{\sf{Average Velocity = \frac{displacement}{time} }}}}}}$

￣￣￣￣￣￣￣￣￣￣￣￣

${\large{\pmb{\bf{\green{\underline{SOLUTION :}}}}}}$

Here,

${\mapsto{\sf{Displacement = 0}}}$

(As the boy started from point A and returned back to point A )

${\mapsto{\sf{Time = 1hr}}}$

Than,

${\dashrightarrow{\sf{Average \: velocity = \frac{displacement}{time} }}}$

${\dashrightarrow{\sf{Average \: velocity ={\cancel \frac{0}{1} }}}}$

${\large{\purple{:{\mapsto{\underline{\boxed{\bf{0 km/h}}}}}}}}$

${\maltese{\bf{\underline{So,}}}}$

Average velocity = 0km/h.

￣￣￣￣￣￣￣￣￣￣￣￣

Answer 2

Given : A boy starts from a point A, travels to a point B at a distance of 1.5 km and returns to A.  

he takes one hour to do so,

To Find : his average velocity  

(a) 3 km/h

(b) zero

(c) 1.5 km/h

(d) 2 km/h​

Solution:

Average Velocity = Displacement  / Time taken

Displacement = Final Position - Initial Position

Boy starts from A and returns to A

Hence Final Position = Initial Position

=> Displacement =  0

Average Velocity = 0/1  = 0  

option (b) zero  is correct answer

Additional Info:

Average Speed = Distance / Time

Distance = 1.5 + 1.5 = 3 km

Time taken = 1 hr

Average Speed = 3/1  = 3 km/hr

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