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FP1 - Parabola question

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AQA GCSE physics P1 unofficial mark scheme 05-05-2016
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    I've done part a)

    part b) I subbed the values into the tangent and got the values of t as 4 and -1, which are correct. However I was unsure of what to do here so I looked at the solutions and they subbed the values of t into the point P, and i'm not sure why, Is it because P has the parametric equations? as in x = at^2 and y = 2at? So P is just a general point on the parabola? If not then why into P?

    Thanks.
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    (Original post by lemonpwns1)
    So P is just a general point on the parabola?
    Yes
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    (Original post by raheem94)
    Yes
    thanks for the quick response

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