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    I'm struggling with a SUVAT question I received as hw, any help would be appreciated

    A train travels along a straight piece of track between 2 stations A and B. The train starts from rest at A and accelerates at 1.25m/s^2 until it reaches a speed of 20m/s. It then travels at this speed for a distance of 1560m and then decelerates at 2m/s^2 to come to rest at B.

    A) find the distance from A to B

    B) find the total time take for the whole journey

    C) find the average speed of the journey

    The deceleration is what's confusing me tbh
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    (Original post by Yqtlrnmvnt)
    The deceleration is what's confusing me tbh
    Deceleration is just negative acceleration, so for the last part of the journey, the acceleration is -2 ms-1.

    I would suggest sketching a velocity-time graph - it should make this quite easy.
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    (Original post by Pangol)
    Deceleration is just negative acceleration, so for the last part of the journey, the acceleration is -2 ms-1.

    I would suggest sketching a velocity-time graph - it should make this quite easy.
    Okay tysm I did that intuitively anyway and I the answers I got are reasonable
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    (Original post by Yqtlrnmvnt)
    I'm struggling with a SUVAT question I received as hw, any help would be appreciated

    A train travels along a straight piece of track between 2 stations A and B. The train starts from rest at A and accelerates at 1.25m/s^2 until it reaches a speed of 20m/s. It then travels at this speed for a distance of 1560m and then decelerates at 2m/s^2 to come to rest at B.

    A) find the distance from A to B

    B) find the total time take for the whole journey

    C) find the average speed of the journey

    The deceleration is what's confusing me tbh
    Firstly always draw out a diagram and state the SUVATS, you can do this question in parts:


    Part 1, finding S when accelerating
    S = ?
    U = 0 (Starts from rest)
    V = 20
    A = 1.25
    T = ?

    V^2 = u^2 + 2as
    20^2 = 0 + 2(1.25)S
    400 = 2.5 S
    S = 160 m

    (So it took 160m to reach 20m/s at that acceleration and then it travels for another 1560m at constant speed. So it does a total of 1720m before decelerating)

    Part 2, finding a distance it covered whilst decelerating. That's negative acceleration. So:

    S = ?
    U = 20
    V = 0 (comes to rest)
    A = -2
    T = ?

    V^2 = U^2 + 2as
    0 = 20^2 + 2(-2)s
    0 = 400 -4S
    -400 = -4S
    S = 100 m

    Add this to the 1720m it already covered before decelerating and you get 1820m

    So a) 1820m

    Part 3, find the time taken when the train is accelerating
    So this time you are looking for T, but don't use the answer you got in the previous question unless you need to, in case it might be wrong

    S = ?
    U = 0
    V = 20
    A = 1.25
    T = ?

    V = U + at
    20 = 0 + (1.25)t
    20 = 1.25t
    T = 16 seconds

    Part 4, find the time it stayed at constant speed

    S = 1560 m
    U = 20
    V = ?
    A = 0
    T =?

    S = ut + 1/2at^2
    1560 = 20t + 1/2(0)t^2
    1560 = 20t
    T = 78 seconds

    Part 5, see how long it spent decelerating,

    S = ?
    U = 20
    V = 0 (comes to rest)
    A = -2
    T = ?

    v = u + at
    0 = 20 -2t
    -20 = -2t
    T = 10 seconds

    16 + 78 + 10 = 104 seconds
    So b) 104 seconds

    Part 6, find the average speed

    Speed = Distance/Time

    So Speed = 1820/104 = 13m/s

    Meaning c) 13m/s

    Hope this helps
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    (Original post by Den987)
    Firstly always draw out a diagram and state the SUVATS, you can do this question in parts:


    Part 1, finding S when accelerating
    S = ?
    U = 0 (Starts from rest)
    V = 20
    A = 1.25
    T = ?

    V^2 = u^2 + 2as
    20^2 = 0 + 2(1.25)S
    400 = 2.5 S
    S = 160 m

    (So it took 160m to reach 20m/s at that acceleration and then it travels for another 1560m at constant speed. So it does a total of 1720m before decelerating)

    Part 2, finding a distance it covered whilst decelerating. That's negative acceleration. So:

    S = ?
    U = 20
    V = 0 (comes to rest)
    A = -2
    T = ?

    V^2 = U^2 + 2as
    0 = 20^2 + 2(-2)s
    0 = 400 -4S
    -400 = -4S
    S = 100 m

    Add this to the 1720m it already covered before decelerating and you get 1820m

    So a) 1820m

    Part 3, find the time taken when the train is accelerating
    So this time you are looking for T, but don't use the answer you got in the previous question unless you need to, in case it might be wrong

    S = ?
    U = 0
    V = 20
    A = 1.25
    T = ?

    V = U + at
    20 = 0 + (1.25)t
    20 = 1.25t
    T = 16 seconds

    Part 4, find the time it stayed at constant speed

    S = 1560 m
    U = 20
    V = ?
    A = 0
    T =?

    S = ut + 1/2at^2
    1560 = 20t + 1/2(0)t^2
    1560 = 20t
    T = 78 seconds

    Part 5, see how long it spent decelerating,

    S = ?
    U = 20
    V = 0 (comes to rest)
    A = -2
    T = ?

    v = u + at
    0 = 20 -2t
    -20 = -2t
    T = 10 seconds

    16 + 78 + 10 = 104 seconds
    So b) 104 seconds

    Part 6, find the average speed

    Speed = Distance/Time

    So Speed = 1820/104 = 13m/s

    Meaning c) 13m/s

    Hope this helps
    TYSM <3
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    The best way to use SUVAT equation is first to make a list of
    the known variables + the variable that you want to calculate
    always write something like:
    -S U V A? in this case, it's missing t
    -S V? A T in this case, it's missing u
    etc...

    The question mark represents the variable you wish to find, and the other variable should be in the question itself. The question mark does not help you to find which equation to use, but it will make your objective clearer.

    After you listed them, refer back to to the 5 suvat euqation.
    If you are missing S use: v=u+at
    If you are missing U use: s=vt-1/2at^2
    If you are missing V use: s=ut+1/2at^2
    If you are missing A use: s=1/2(u+v)t
    If you are missing T use: v^2=u^2+2as

    After the decided which formula to use, substitute the value you already know.
    Find out the missing one

    Spend time remember the SUVAT equation because that is going to save you a lot of time in the exam.
    Practice makes perfect , so do more suvat eqaution.
    Hope you are getting good grade in Mechanics
 
 
 
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