Question

A body covers half the distance with a velocity 10 m/
s and remaining half with a velocity 15 m/s along a
straight line. The average velocity will be-
(A) 12 m/s
(B) 10 m/s
(C) 5 m/s
(D) 12.5 m/s​

Answer 1

Que. A body covers half the distance with a velocity 10 m/

s and remaining half with a velocity 15 m/s along a

straight line. The average velocity will be-

(A) 12 m/s

(B) 10 m/s

(C) 5 m/s

(D) 12.5 m/s

$\boxed{\boxed{\huge{\bf{Answer}}}}$

$\boxed{\boxed{\huge{\bf{Option \ D}}}}$

Velocity

Velocity is basically the rate of change of displacement.

The velocity of an object is the ratio of the displacement covered by the object to the time during which the displacement has been done.

E.G. Motion of a car.

$velocity={\frac{displacement}{total time}}$

Average Velocity

Averege velocity is basically the average of given velocities.

OR

Average Velocity is the ratio of the displacement of a body from its initial point to the final point and the total time during which the displacement has took place.

Now we will solve the question.

The average velocity = ( u + v )/2

= (10 + 15)/2

= 25/2

= 12.5

So the average velocity will be 12.5 m/s

Answer 2

$\mathfrak{\large{\underline{\underline{Answer:-}}}}$

Option => D

12.5 m/s​

$\mathfrak{\large{\underline{\underline{Explanation:-}}}}$

The average velocity :

★ $\boxed{\sf{\dfrac{( u + v )}{2} }}$

Put the given values :

$\longrightarrow \sf \dfrac{(10 + 15)}{2}$

$\longrightarrow \sf \dfrac{25}{2}$

$\longrightarrow \sf 12.5\;m/s.$

$\rule{300}{1.3}$

$\mathfrak{\large{\underline{\underline{Additional\;Information:-}}}}$

★ Velocity :

Velocity is a vector idiom of the displacement that an object under goes with respect of the time.

Velocity :

★ $\boxed{\sf{Velocity=\dfrac{Displacement.}{Total\;Time.}}}$

★ Average velocity :

The average speed of an object is known as the distance travelled divided by the time proceed.

Average Velocity is the ratio of the displacement of a body from its final point to the Initial point.