(A) Given: Initial velocity $u = 40 \, m s^{-1}$,Final velocity $v = 0 \, m s^{-1}$,Acceleration $a = -2 \, m s^{-2}$.Using the third equation of moti

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Yes,it stops exactly at the end of the platform.

(A) Given: Initial velocity $u = 40 \, m s^{-1}$,Final velocity $v = 0 \, m s^{-1}$,Acceleration $a = -2 \, m s^{-2}$.Using the third equation of motion: $v^{2} = u^{2} + 2aS$.Substituting the values: $0^{2} = (40)^{2} + 2(-2)S$.$0 = 1600 - 4S$.$4S = 1600$.$S = 400 \, m$.Since the calculated stopping distance is $400 \, m$ and the platform length is $400 \, m$,the train will stop exactly at the end of the platform.

Class 9 Science MOTION Mix Example - MOTION

Easy

$A$ driver of a train travelling 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 platform is $400 \, m$ long. Will the train stop in time?

A
Yes,it stops exactly at the end of the platform.
B
No,it overshoots the platform.
C
Yes,it stops well before the platform ends.
D
The train does not stop.

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MOTION

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Mix Example - MOTION

Derive the equation $v^{2}-u^{2}=2 a S$ graphically.

Difficult

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The following table shows the position of Renu, while she is going to her school. Draw a distance-time graph for her motion.

Time Distance from her home $(km)$

$06:45 \, am$ $0$

$07:00 \, am$ $8$

$01:30 \, pm$ $8$

$01:45 \, pm$ $0$

Time	Distance from her home $(km)$
$06:45 \, am$	$0$
$07:00 \, am$	$8$
$01:30 \, pm$	$8$
$01:45 \, pm$	$0$

Easy

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The displacement of a body is proportional to the cube of the time lapsed. The magnitude of the acceleration is

Easy

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The graph given below is the distance-time graph of an object.
$(i)$ Find the speed of the object during the first four seconds of its journey.
(ii) How long was it stationary?
(iii) Does it represent a real-life situation? Justify your answer.

Difficult

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$(a)$ Define uniform circular motion.
$(b)$ Is the uniform circular motion an accelerated motion? Give reasons for your answer.

Medium

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$A$ driver of a train travelling 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 platform is $400 \, m$ long. Will the train stop in time?

Similar Questions

Derive the equation $v^{2}-u^{2}=2 a S$ graphically.

The following table shows the position of Renu, while she is going to her school. Draw a distance-time graph for her motion. Time Distance from her home $(km)$ $06:45 \, am$ $0$ $07:00 \, am$ $8$ $01:30 \, pm$ $8$ $01:45 \, pm$ $0$

The displacement of a body is proportional to the cube of the time lapsed. The magnitude of the acceleration is

The graph given below is the distance-time graph of an object.$(i)$ Find the speed of the object during the first four seconds of its journey.(ii) How long was it stationary?(iii) Does it represent a real-life situation? Justify your answer.

$(a)$ Define uniform circular motion.$(b)$ Is the uniform circular motion an accelerated motion? Give reasons for your answer.

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The following table shows the position of Renu, while she is going to her school. Draw a distance-time graph for her motion.

Time Distance from her home $(km)$

$06:45 \, am$ $0$

$07:00 \, am$ $8$

$01:30 \, pm$ $8$

$01:45 \, pm$ $0$

The graph given below is the distance-time graph of an object.
$(i)$ Find the speed of the object during the first four seconds of its journey.
(ii) How long was it stationary?
(iii) Does it represent a real-life situation? Justify your answer.

$(a)$ Define uniform circular motion.
$(b)$ Is the uniform circular motion an accelerated motion? Give reasons for your answer.