Question

A body moves with a uniform acceleration and its initial velocity is 5m/s . After 10 seconds it’s velocity becomes 25m/s.find the acceleration of the body.

Answer 1

Answer:

$2ms^{2}$

Step-by-step explanation:

Data:

Initial velocity= 5m/s

Time= 10 s

Final velocity= 25 m/s

Acceleration= ?

Solution:

$a= \frac{Vf- V i}{t} \\a= \frac{25-5}{10} \\a= \frac{20}{10} \\a= 2ms^{2}$

The acceleration of the body is $2ms^{2}$

Answer 2

Step-by-step explanation:

$\bf{\underline{\underline\red{Given:-}}}$

• Initial velocity = 5m/s

• Final velocity = 25m/s

• Time = 10 sec.

$\bf{\underline{\underline\blue{To\:Find:-}}}$

• The acceleration of the body.

$\bf{\underline{\underline\green{Solution:-}}}$

As we know that:-

According to the 1st equation of motion.

$\boxed{ \leadsto\rm \: v = u + at}$

Here:-

• v = Final velocity = 25m/s

• u = Initial velocity = 5m/s

• a = Acceleration

• t = time.

Substituting the values:-

$\implies\rm \: v = u + at$

$\implies\rm \: 25= 5 + a(10)$

$\implies\rm \: 25= 5 + 10a$

$\implies\rm \: 25 - 5= 10a$

$\implies\rm \: 20= 10a$

$\implies\rm \: \dfrac{20}{10} = a$

$\implies\rm \: 2 = a$

$\implies\rm \: a = 2m/ {s}^{2}$

$\boxed{\therefore\rm \: Acceleration \: of \: the \: body = 2m/ {s}^{2}}$