Q. 24.2( 98 Votes )

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

Answer :

Initial speed, u = 90 km/h^{2}

(Converting it into m/s, We know 1km=1000m and 1 hour= 3600 seconds)

=

= 25 m/sFinal speed, *v* = 0 (As the train stops)

^{2}(As the brakes are being applied the speed is reducing)

And,

Distance traveled,*s*=? (To be Calculated)

Now, v^{2} = u^{2} + 2as

^{2}= (25)

^{2}+ 2 × (-0.5) × s

0 = 625 – 1 × s

0 = 625 - s

Therefore, 625 meters is the distance traveled by the train before it is brought to rest.

Rate this question :

Which one of the following is most likely not a case of uniform circular motion?

A. motion of the earth around the sun

B. motion of a toy train on a circular track

C. motion of a racing car on a circular track

D. motion of hours’ hand on the dial of a clock

Lakhmir Singh & Manjit Kaur - PhysicsA cheetah starts from rest, and accelerates at 2 m/s^{2} for 10 seconds. Calculate :

(a) the final velocity

(b) the distance travelled.

Lakhmir Singh & Manjit Kaur - PhysicsObtain a relation for the distance travelled by an object moving with a uniform acceleration in the interval between 4^{th} and 5^{th} second.

A car accelerates from 6 ms^{–1} to 16 ms^{–1} in 10 sec. Calculate (a) the acceleration and (b) the distance covered by the car in that time.

A bus increases its speed from 36 km/h to 72 km/h in 10 seconds. Its acceleration is :

Lakhmir Singh & Manjit Kaur - PhysicsA bus is moving with a speed 72 km/h can be stopped by brakes after at least 10 m. What will be the minimum stopping distance, if the same bus is moving at a speed of 144 km/h?

All In One - ScienceDerive the formula: ,where the symbols have usual meanings.

Lakhmir Singh & Manjit Kaur - Physics