Question

A car runs with an initial velocity of 30m/s and uniform acceleration of 3 m/s^2.Find its velocity after 5 seconds​

Answer 1

Answer :-

45 m/s

Given:-

• Initial velocity (u) = 30m/s
• Acceleration (a) = 3m/s²
• Time taken (t) = 5 s

To find :-

• Final velocity

Solution:-

As we know that from equations of motion ,

v = u + at

• v = final velocity
• u = initial velocity
• a = acceleration
• t = time

Substituting the values,

v = 30 + (3)(5)

v = 30 + 15

v = 45 m/s

So, final velocity of the body is 45 m/s

-------------------------------------------

Alternate method :-

We also can find the final velocity of body by acceleration formula

a = v-u /t

where ,

• a = acceleration
• v = final velocity
• u = initial velocity
• t = time

Substituting the values,

3 = v-30/5

3(5) = v-30

15 = v-30

15 + 30 = v

45 = v

v = 45m/s

So, final velocity is 45m/s

Know more equations of motion:-

First equation :- v= u+at

Second equation :- s=ut+½at²

Third equation :- v²-u²=2as

where,

• v = final velocity
• u= initial velocity
• a = acceleration
• s = distance covered
• t = time taken