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    benbrad's Avatar
    benbrad Posts: 7, Reputation: 1
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    #1

    Sep 21, 2008, 12:21 PM
    Physics velocity
    A student throws a baseball vertically upward, and 2.8s later catches it at the same level. Neglecting air resistance, calculate the following.

    a) velocity at which the ball left the student's hand

    answer : 14m/s

    b) the heigt to which the bal climbed above the students hand

    answer : 9.6m


    I don't understand how to slove this problem. I have wrote the answers for the following questinos.
    anyone know what equation or way to solve this problem ?
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #2

    Sep 21, 2008, 12:33 PM

    Simply apply the Equations of motion:

    Equations of motion - Wikipedia, the free encyclopedia
    benbrad's Avatar
    benbrad Posts: 7, Reputation: 1
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    #3

    Sep 21, 2008, 12:37 PM

    All I've given is time and the acceleration, which is 9.8m/s
    How should I go about from here?
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #4

    Sep 21, 2008, 12:48 PM

    for a) you can use

    for b) you can use or
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    benbrad Posts: 7, Reputation: 1
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    #5

    Sep 21, 2008, 01:08 PM

    if I use your equation v = u x at

    I get answer of v = (0) x (9.8m/s) ( 2.8)
    which is 27.44
    not 14
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #6

    Sep 21, 2008, 01:10 PM
    Quote Originally Posted by benbrad View Post
    if i use your equation v = u x at

    i get answer of v = (0) x (9.8m/s) ( 2.8)
    which is 27.44
    not 14
    You're trying to find u, not v.
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    benbrad Posts: 7, Reputation: 1
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    #7

    Sep 21, 2008, 01:13 PM
    Do I have to find another number to solve for initial velocity ?

    There's 4 unknown and I only know 2.
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    benbrad Posts: 7, Reputation: 1
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    #8

    Sep 21, 2008, 01:31 PM

    I'm sorry, but could you help me step by step.
    I'm a visual learner, would help where I should plot each numbers.
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #9

    Sep 21, 2008, 02:02 PM

    okay, for the first part you need to recognise that when you throw an object up and it comes back down, the first half of this motion is identical to the second half (in the absence of air resistance).

    So, from this information we can determine that v = -u (same speed but in opposite directions)

    using this along with v = u + at we find that

    -u = u + at

    Now just rearrange and solve for u.

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