Question

A train starting from a railway station and moving with uniform acceleration

attains a speed of 40 km/hr in 10 minutes. Find its acceleration.​

Answer 1

Answer:

Explanation:

Solution,

Here, we have

Initial velocity, u = 0 (As train starts from rest)

Final velocity, v = 40 km/h = 40 × 5/18 = 100/9 = 11.11 m/s

Time taken, t = 1 min = 10 × 60 = 600 seconds

To Find,

Acceleration, a = ??

According to the 1st equation of motion,

We know that,

v = u + at

So, putting all the values, we get

v = u + at

⇒ 11.11 = 0 + a × 600

⇒ a = 11.11 - 0/600

⇒ a = 11.11/600

⇒ a = 0.0185 m/s²

Hence, the acceleration by train is 0.0185 m/s².

Answer 2

✪ Qᴜᴇsᴛɪᴏɴ

A train starting from a railway station and moving with uniform acceleration attains a speed 40km/h in 10 minutes. Find its acceleration.

☯ Wᴇ Kɴᴏᴡ Tʜᴀᴛ

Initial speed of the train = 0 km

Final speed of the train = 40 km/h

= 5/18 × 40

= 11.11 m/s

Time which is taken to attain speed

↦ 10 minutes

↦ 10 × 60

↦ 600 seconds

✿ Tᴏ Fɪɴᴅ

• Acceleration of the train

☢ Fᴏʀᴍᴜʟᴀ Tᴏ Bᴇ Usᴇᴅ

a = v-u / t

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

☛ Sᴏʟᴜᴛɪᴏɴ

➸ a = v-u/t

➸ a = 11.11-0/600

➸ a = 11.11/600

➸ a = 0.0185 m/s²

⛬ The acceleration of the train is 0.0185 m/s²