Question

Acceleration of an object is 5m/s2 and its intial velocity changes from 8m/s to 10m/s then find the time duration.​

Answer 1

Answer:

s=ut+1/2at^2

Therefore,

s=10(5)+1/2(5)(5*5)

s=112.5metres

Hence,it covers 112.5metres.

Answer 2

⚘ Question ::

• Acceleration of an object is 5 m/s² and its initial velocity changes from 8 m/s to 10 m/s then find the time duration.

⚘ Answer ::

• Time duration is 0.4 seconds.

Explanation:

⚘ Given that ::

• Acceleration (a) = 5 m/s²
• Initial velocity (u) = 8 m/s
• Final velocity (v) = 10 m/s

⚘ To Find ::

• Time taken (t)?

⚘ Solution ::

• Using first equation of motion ::

We know that,

$\large{\boxed{\underline{\underline{\sf{\purple{\bigstar\:\Big\{v =} \pink{u + at\Big\}\:\bigstar}}}}}}$

Where,

• v denotes final velocity
• u denotes initial velocity
• a denotes acceleration
• t denotes time taken

Given,

• v = 10 m/s
• u = 8 m/s
• a = 5 m/s²

According to the question by using the formula we get,

⇒ $\sf 10 = 8 + (5\:\times\:t)$

⇒ $\sf 10 - 8 = 5t$

⇒ $\sf 5t = 2$

⇒ $\sf t = {\cancel{\dfrac{2}{5}}}$

➠ $\large{\boxed{\boxed{\bf{\red{t} \blue{=} \pink{0}\purple{.}\green{4}\:\orange{s}}}}}$

∴ Time duration is 0.4 seconds.

⚘ Know More ::

$\clubsuit$ Three equations of motion :

1. v = u + at ㅤㅤㅤㅤㅤ[Used above]
2. s = ut + ½ at²
3. v² = u² + 2as

$\clubsuit$ Some important definitions :

• Acceleration

Acceleration is the process where velocity changes. Since, velocity is the speed and it has some direction. So, change in velocity is considered as acceleration.

• Initial velocity

Initial velocity is the velocity of the object before the effect of acceleration.

• Final velocity

After the effect of acceleration, velocity of the object changes. The new velocity gained by the object is known as final velocity.

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