Question

calculate the acceleration of the body which was moving with the velocity of 40m/sec and was stopped by applying breaks, also calculate the distance travelled by it in 5 sec​

Answer 1

Given:

• Initial velocity,u = 40 m/s

• Final velocity,v = 0 m/s

• Time taken,t = 5 s

To be calculated:

Calculate the acceleration and distance travelled of the body.

Formula used:

• v = u + at

• s = ut + 1/2at²

Solution:

Case 1 :

From first equation of motion

v = u + at

★ Substituting the values in the above formula,we get

⇒ 0 = 40 + a × 5

⇒ 0 = 40 + 5a

⇒ 5a = -40

⇒ a = -40/5

⇒ a = -8 m/s² [ negative acceleration ]

Thus,the acceleration of given body is -8 m/s².

Case 2:

From Second equation of motion

s = ut + 1/2 at²

s = 40 × 5 + 1/2 × -8 × ( 5 )²

s = 200 + ( -4 ) × 25

s = 200 - 100

s = 100 m

Thus,the distance covered by given body is 100 metres.

Answer 2

✯✯ QUESTION ✯✯

Calculate the acceleration of the body which was moving with the velocity of 40m/sec and was stopped by applying breaks, also Calculate the distance travelled by it in 5 sec ..

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✰✰ ANSWER ✰✰

$\implies\tt{Initial\:Velocity(u)=40m/s}$

$\implies\tt{Final\:Velocity(v)=0m/s}$

$\implies\tt{Time\:Taken(t)=5\:sec.}$

➥Firstly , We will Find the Acceleration ..

➮Using 1st Equation Of Motion : -

$\implies\tt{\small{\boxed{\bold{\bold{\red{\sf{v=u+at}}}}}}}$

☛Putting Values : -

$\implies\tt{0=40+a(5)}$

$\implies\tt{0=40+5a}$

$\implies\tt{-40=5a}$

$\implies\tt{a=\cancel\dfrac{-40}{5}}$

$\red\longmapsto\:\large\underline{\boxed{\bf\green{a}\orange{=}\purple{-8}}}$

☛Acceleration of the Body is -8m/s ..

➥Now ,

We will find the distance travelled by the body ..

➥Using 2nd Equation of Motion : -

$\implies\tt{\small{\boxed{\bold{\bold{\blue{\sf{s=ut+\dfrac{1}{2}{at}^{2}}}}}}}}$

➥Putting Values : -

$\implies\tt{s=40(5)+\dfrac{1}{2}\times{-8}\times{{(5)}^{2}}}$

$\implies\tt{s=200+\dfrac{1}{\cancel{2}}\times{\cancel{-8}}\times{25}}$

$\implies\tt{s=200-100}$

$\green\longmapsto\:\large\underline{\boxed{\bf\pink{s}\orange{=}\blue{100}}}$

☛So , The distance travelled by the body is 100m.