The driver of a train traveling at $40 m s^{- 1}$ applies the brakes as the train enters a station. The train slows down at a rate of $2 m s^{- 2}$ . The distance traveled by train before stopping is:

200 m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

300 m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

400 m

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

500 m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $400 m$
Assumption: Initial direction of velocity is positive.
Given:
Initial speed, $u = 40 m s^{- 1}$
Acceleration, $a = - 2 m s^{- 2}$
Acceleration is negative because it is opposite to the direction of initial velocity.
As the train finally stops, final velocity, $v = 0$

Let the distance traveled by train before stopping be $s$ .

Using equation of motion,
$v^{2} = u^{2} + 2 a s$
Substituting values,
$0^{2} = 40^{2} + (2 \times - 2 \times s)$
Solving, we get:
$s = + 400 m$

Suggest Corrections

Similar questions

The driver of a train traveling at $40 m s^{- 1}$ applies the brakes as the train enters a station. The train slows down at a rate of $2 m s^{- 2}$ . The distance traveled by train before stopping is

Q. A train is moving at a speed of 90km/h.On applying brakes,a retardation of 2.5m/ S2 is created.At what distance before, should the driver apply brakes to stop the train

Q. A train is travelling at a speed of

108 k m / h

. Brakes are applied so as to produce a uniform retardation of

1 m / s^{2}

. Find how far the train will go before it is brought to rest :

Q. The driver of a train

A

running at

25 m s^{- 1}

sights a train

B

on the same track with

15 m s^{- 1}

. The driver of train

A

applies brakes to produce a deceleration of

1.0 m s^{- 2}

. If the trains are

200 m

apart, will the trains collide?

Q. 1) The Velocity of a car decreases from 20 m/s to 10 m/s in certain time interval .Find retardation of car if distance covered by car during this time is 300 m.
2) Brakes are applied to train moving at 40 km/h. If the train comes to stop after 1 minute , calculate the retardation and the distance covered by train after brakes are applied.

Join BYJU'S Learning Program

The driver of a train traveling at 40 m s−1 applies the brakes as the train enters a station. The train slows down at a rate of 2 m s−2. The distance traveled by train before stopping is:

The driver of a train traveling at $40 m s^{- 1}$ applies the brakes as the train enters a station. The train slows down at a rate of $2 m s^{- 2}$ . The distance traveled by train before stopping is: