Question

1 A body is moving with a velocity of 10 m/s. If it starts accelerating with
the rate of 2.5 ms? Find out its velocity after 10 s.​

Answer 1

Given :

• initial velocity of body , u = 10 ms⁻¹
• acceleration of body = 2.5 ms⁻²
• Time = 10 s

To find :

• velocity of body after 10 seconds , v = ?

Formula used :

First equation of motion

•  v = u + a t

( where u is initial velocity , a is acceleration , v is final velocity and t is time )

Calculation :

Using first equation of motion

→ v = u + a t

→ v = (10) + (2.5) (10)

→ v = 10 + 25

→ v = 35 ms⁻¹

Therefore,

Velocity of body after 10 seconds will be 35 ms⁻¹.

Answer 2

$\bigstar$ $\sf{\purple{\underline{\underline{\blue{To\:Find:-}}}}}$

• The velocity of the body after “10 s”

$\bigstar$ $\sf{\blue{\underline{\underline{\purple{SOLUTION:-}}}}}$

☞ GIVEN :-

• A body moving with a Velocity = “10 m/s”
• i.e, “u” (initial Velocity) = “10 m/s”

• a (acceleration) = 2.5 m/s²

• t (time) = 10 s

☞ CONCEPTS :-

• when a body moving with constant acceleration, then the Equation of Motion is,

$\checkmark\:\tt{\underline{\green{\boxed{v\:=\:u\:+\:at}}}}$

☞ CALCULATION :-

☞ Now, putting the value in the above formula and get the final velocity .

$\tt{\implies\:v\:=\:10\:+\:2.5\times10\:}$

$\tt{\implies\:v\:=\:10\:+\:25\:}$

$\tt{\boxed{\implies\:v\:=\:35\:m/s\:}}$

☞ Therefore, it's velocity after “10 s” is “35 m/s” .

$\bigstar\:\underline{\boxed{\bf{\red{Required\:Answer\::\:Velocity\:\:after\:\:10s\:\:is\:\:(35m/s)\:}}}}$