Question

A body is travelling with a velocity 30m/s . It is given an acceleration 5m/s . What will be its velocity after 4s

Answer 1

Given :

➳ Initial velocity = 30m/s

➳ Acceleration = 5m/s²

➳ Time interval = 4s

To Find :

➠ Final velocity of body after the given interval of time.

Solution :

➝ Acceleration is defined as the rate of change in velocity.

➝ It is a vector quantity having both magnitude as well as direction.

➝ It can be positive, negative or zero.

➝ SI unit : m/s²

✭ First equation of kinematics :

⇒ a = (v - u) / t

⇒ v = u + at

⇒ v = 30 + (5 × 4)

⇒ v = 30 + 20

⇒ v = 50m/s

Answer 2

$\sf\Large{\underbrace{\red{Answer \implies 50\:m/s}}}$

$\sf\large{\underline{\underline{Given:}}}$

$\sf{ Initial \:velocity\:(v) = 30\:m/s}$

$\sf{Acceleration\: (a) = 5\:m/{s}^{2}}$

$\sf\large{\underline{\underline{To \:Find:}}}$

$\sf{Velocity\:after\:4\:s\:(Final\:Velocity..ie. u) =...... ?}$

$\sf\large{\underline{\underline{SolUTiOn:}}}$

$\sf{To\:find \:the\:velocity\:after\:4\:sec\:we\:use\:the}$$\sf{first\:equation\:of\:motion...i.e.}$

$\sf{\red{\implies v = u + at}}$

$\sf{\green{\implies v = 30 + 5 \times 4}}$

$\sf{\orange{\implies v = 50\:m/s}}$

$\sf\large{\underline{\underline{Hence:}}}$

$\bold{\fbox{\color{red}{ \: \: \: Velocity\:after\:4\:seconds = 50\:m/s}}}$