Question

A moving body in uniform acceleration for initial velocity of 10m/s and after 15 minutes it's velocity becomes 40m/s .
Find its acceleration.

Answer 1

We know that

a=v-u/t

u=10m/s
v=40m/s
t=900sec. (Convert min into sec)

a= 40-10/900

a= 30/900

a=.033m/s square

Answer 2

✬ Acceleration = 0.003 m/s² ✬

Explanation:

Given:

• Initial velocity (u) of body is 10 m/s.
• Final velocity (v) of body is 40 m/s.
• Times taken to attain final velocity is 15 minutes.

To Find:

• What is the acceleration of body ?

Formula to be used:

• v = u + at ( First equation of motion )

Solution: Here, time is given in minutes so we need to change it into seconds.

➟ 1 minutes = 60 seconds

∴ 15 minutes = 15 $\times$ 60 = 900 seconds

Now, Put the values on formula.

$\implies{\rm }$ v = u + at

$\implies{\rm }$ 40 = 10 + a $\times$ 900

$\implies{\rm }$ 40 – 10 = 900a

$\implies{\rm }$ 30 = 900a

$\implies{\rm }$ 30/900 = a

$\implies{\rm }$ 0.033 m/s²

Hence, the acceleration of the body is 0.033 m/s².