A train is travelling at a speed of 90 {~km} {~h}{ }^{-1}. Bra

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A train is travelling at a speed of $90 km h^{- 1}$ . Brakes are applied so as to produce a uniform acceleration of $- 0.5 m s s^{- 2}$ . Find how far the train will go before it is brought to rest.

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Updated on: Feb 5, 2024

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A train is travelling at a speed of

90 km h^{- 1}

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

- 0.5 m s s^{- 2}

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

6 mins ago

Discuss this question LIVE

6 mins ago

Text solutionVerified

Acceleration

a = - 0.5 m / s^{2}

Speed

v = 90 km / h = 25 m / s

Using equation of motion,

v = u + at

Where,

v =

final velocity

u =

initial velocity

a =

acceleration

t =

time
Put the value into the equation
Finally train will be rest so, final velocity,

v = 0

0 = 25 - 0.5 t

25 = 0.5 t

t = \frac{25}{0.5}

t = 50 sec

Again, using equation of motion,

S = u ut + \frac{1}{2} a t^{2}

Where, s = distance

V =

final velocity

u =

initial velocity

a =

acceleration

t =

time
Put the value into the equation
Where

S

is distance travelled before stop

s = 25 \times 50 - \frac{1}{2} \times 0.5 \times (50)^{2}

s = 625 m

So, the train will go before it is brought to rest is

625 m

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Question Text	A train is travelling at a speed of $90 km h^{- 1}$ . Brakes are applied so as to produce a uniform acceleration of $- 0.5 m s s^{- 2}$ . Find how far the train will go before it is brought to rest.
Updated On	Feb 5, 2024
Topic	Motion
Subject	Science
Class	Class 9
Answer Type	Text solution:1 Video solution: 10
Upvotes	1029
Avg. Video Duration	6 min

A train is travelling at a speed of $90 km h^{- 1}$ . Brakes are applied so as to produce a uniform acceleration of $- 0.5 m s s^{- 2}$ . Find how far the train will go before it is brought to rest.

Text solutionVerified

Video solutions (10)

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