Question

a train starting from rest moving with a uniformly acceleration of 2 metre per second square for 2 minutes find its final velocity​

Answer 1

We have been given that train starting from rest accelerating uniformly at 2 m/s² for 2 minutes.

We have to find final velocity of train.

Solution

As the car starts from rest, so initial velocity i.e. u = 0 m/s

Acceleration (a) = 2 m/s²

Time = 2 minutes.

➼ Time = (2 × 60) s

➼ Time (t) = 120 s

Using first equation of motion :

☛ v = u + at

Where,

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

Putting values :

➪ v = 0 + 2 × 120

➪ v = 0 + 240

➪ v = 240 m/s

Therefore,

Final velocity of train = 240 m/s

Answer 2

GIVEn

A train starting from rest moving with a uniformly acceleration of 2 metre per second square for 2 minutes

TO FINd

find its final velocity

SOLUTIOn

Apply this formula

$\Large{\boxed{\bf{a=\dfrac{v-u}{t}}}}$

where,

a = acceleration

v = final velocity

u = initial velocity

t = time taken

• a = 2m/s²
• u = 0
• t = 2min = 2*60 = 120sec
• v = ?

$\implies\tt a=\dfrac{v-u}{t} \\ \\ \\ \implies\tt 2=\dfrac{v-0}{120} \\ \\ \\ \implies\tt 120\times{2}=v \\ \\ \\ \implies\tt v=240m/s$

Hence, the final velocity of train is 240m/s