Question

A partial start with an initial velocity 3/s along the positive x- direction and in accelerates uniformly at a rate of 0.60m/s^2. Find the distance traveled by it in the first 3 see

Answer 1

GiveN :-

• A partial start with an initial velocity 3m/s along the positive x- direction and in accelerates uniformly at a rate of 0.60m/s² .

To FinD :-

• The distance traveled by it in the first 3 sec.

SolutioN :-

Here the initial Velocity of the particle was 3m/s and acceleration was 0.6 m/s² .We need to find the distance travelled in 3 seconds . Here we can use the second equation of motion.

★ Using the second equation of motion :-

$\sf:\dashrightarrow \pink{ s=ut + \dfrac{1}{2}at^2}\\\\\sf\dashrightarrow S_5 = (3m/s)(3s)+\dfrac{1}{2}(0.6 \ m/s^2)(3s)^2 \\\\\sf\dashrightarrow S_5 = \bigg(9+ \dfrac{3}{10}\times 9 \bigg) m \\\\\sf\dashrightarrow S_5 =( 9 + 2.7 ) m\\\\\sf\dashrightarrow \underset{\blue{\sf Required\ Answer}}{\underbrace{\boxed{\pink{\frak{ Distance _{(5\ seconds)}= 11.7 \ m }}}}}$