Question

A body moves from rest with uniform acceleration and travels 270m in 3 sec .Find the velocity of the body at 10 sec from the start

Answer 1

Hey mate !

_______________________

Given :

Initial velocity (u) = 0 m/s.

Distance (s) = 270 m.

Time (t) = 3 secs.

To find :

Acceleration (a) =?

Velocity after 10 sec.

Solution :

We will use third equation of motion here;

s = ut + 1 / 2 at²

⇒ 270 = 0 * 3 + 1 / 2 * a * 3 * 3

⇒ 270 = 9 / 2 a

⇒ 9a = 540

⇒ a = 540 / 9

⇒ a = 60 m/s²

Now,

We will use first equation of motion here ;

After 10 secs.

v = u + at

⇒ v = 0 + 60 * 10

⇒ v = 600

⇒ v = 600 m/s.

Hence,

The final velocity acquired by the car is 600m/s.

______________________

Thanks for the question !

☺️☺️☺️