Question

A particle initially at rest, moves with an acceleration 5m/s2 for 15 minutes. What is the distance travelled by the body in 4 second ? *
45 m
40m​

Answer 1

GiveN :-

• A particle initially at rest, moves with an acceleration 5m/s² for 15 minutes.

To FinD :-

• The distance travelled by the body in 4 seconds.

SolutioN :-

Given that , A particle initially at rest, moves with an acceleration 5m/s² for 15 minutes. And we need to find the distance travelled by the body in 4 seconds. So here ,

$\red{\frak{ Given }}\begin{cases} \textsf{ Initial velocity of particle =\textbf{ 0m/s } .}\\\textsf{ Acceleration of the particle = \textbf{ 5m/s}.}^2 \\\textsf{ Time of travelling =\textbf{ 4 seconds} .}\end{cases}$

★ Using the second equⁿ of motion :-

$\sf:\implies\pink{ s = ut +\dfrac{1}{2}at^2}\\\\\sf:\implies s = 0(4) + \dfrac{1}{2} \times 5m/s^2\times (4s)^2 \\\\\sf:\implies s = 0 + 5 \times \dfrac{16}{2} m \\\\\sf:\implies s = 5 \times 8 m \\\\\sf:\implies\underset{\blue{\sf Required \ Distance}}{\underbrace{\boxed{\pink{\frak{ Distance = 40 \ m }}}}}$