Question

f a body moving with an initial velocity of 2 ms has a displacement of 48 m in 6 s then the final velocity attained by the body is

Answer 1

Answer:

14m/s

Explanation:

Use the equations of motion

Use

S = ut + 1/2 at² for finding the acceleration and then use

v = u + at for finding the final velocity

Answer 2

Answer:

The final velocity attained by the body is 14 m/s.

Explanation:

The initial velocity of the body, u = 2 m/s

The displacement of the body, S = 48 m

Time taken to make this displacement, t = 6 s

Acceleration of the body can be found using the 2nd equation of motion.

   S = ut + (at²/2)

⇒ a = [2 × (S - ut)] / t²

∴ a = [2 × ( 48 - (2 × 6) )] / 6²

   a = 2 m/s²

Now final velocity of the body can be found using the 1st equation of motion.

  v = u + at

  v = 2 + (2 × 6)

  v = 2 + 12

∴ v = 14 m/s