Question

A train starting from a railway station and moving with uniform acceleration attains a speed of 90 Km/h in 10 sec. The acceleration of the train is

Answer 1

Answer:

Explanation:

ANSWER:-

Given that:-

• Initial Speed = 0 m/s
• Final speed = 90 km/h
• Time = 10 seconds
• Acceleration = ?

First of all, we will convert km/h into metre per second.

$\blue{\bigstar} \sf{ \ 1 kilometre = 1000 \ metres}$

$\purple{\bigstar} \sf{ 1 hour = 3600 \ seconds}$

If I divide them, by simplification I get

$\sf{\frac{5}{18}}$ as the Resultant.

Multiplying 90, we get it as 25 m/s.

So, we know that

$\sf{ Acceleration = \frac{Final \ Speed - Initial \ Speed}{Time}}$

Placing values, we get

$\sf{A = \frac{25-0}{10}}$

$\sf{Acceleration = \frac{25}{10} \implies 2.5 m/s^{2}}$

Therefore, 2.5 m/s^2 is the answer.

NOTE:-

• Convert all the units to SI units
• The SI unit of Time is second
• SI unit of Acceleration is m/s^2
• SI Unit of Speed is m/s.
• Final Speed is also depicted as v
• Initial speed is also depicted as u.