Question

$\huge\sf\fbox\purple{Question}$

A body starts moving with an initial velocity of u m s–1 and an acceleration

of 4 m s–2. If the distance travelled by it is 20 m in the 2 second, then the

value of u is ________

❌No Spam ❌


Follow For More Points
​

Answer 1

$\\ \large\frak{Given} \begin{cases} \sf Accelaration = 4 {ms}^{ - 2} \\ \sf Distance = 20m \\ \sf Time = 2sec \: \end{cases}$

We are asked to calculate the initial velocity

$\bigstar\large \underline{ \pmb{\orange{{ \frak{required \: solution : - }} }}}$

We know the formula for 2nd equation of motion:-

$\\\leadsto \large \underline { \boxed {\pink{{ \frak{s = ut + \dfrac{1}{2}a {t}^{2} }}}}} \bigstar$

• where, S, U, t and a represents distance, initial velocity, time and acceleration respectively.
• by using this equation, we will directly find out the value of initial velocity.

Substituting the given values in this equation :-

$\\ : \implies \sf 20 = u(2)+ \dfrac{1}{2} (4){(2)}^{2}$

$\\ \\ : \implies \sf 20 = 2u+ 8$

$\\ \\ : \implies \sf 12 = 2u$

$\\ \\ : \implies \boxed {\pink{{\sf u = 6}}} \bigstar$

$\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large\therefore \underline{ \sf6 {ms}^{ - 1} \: is \: our \: answer \: }$

_______________________

Hope it helps you :'D

Answer 2

Answer:

$\huge\sf\fbox\blue{Answer}$

Explanation:

Hence, the initial velocity is 6 m/s.