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Math Help - One Dimensional Kinematics Question

  1. #1
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    Question One Dimensional Kinematics Question

    Hello all, first post so I'll try to be as clear as possible. I'm doing some revision for a University exam, and I have been trying to learn about trigonometry and some complementry equations for Vector explaination in 2D.

    I've managed to figure out the trig suff so I have the tools but not the knowledge to figure the rest out. Here is my question:

    A Dinosaur is running scared as Meteors fall onto the Earths surface, at a given point his life becomes in peril as one Meteor looms over head and may well be set to directly collide with our fearful lizard friend.

    - The Dinosaur is travelling at a constant velocity of "X"km/h.
    - The Meteor is travelling at an initial velocity of 100km/h and is accelerating at 2km/h2.
    - As it happens we know where the meteor hits and sadly the Dinosaur is struck after having travelled 200km. (yes I know the distance is rather unbelievable)
    - The Meteor started directly above our x-dino friend stationed 200km above it, before hitting the dinosaur, trigonometry says that the meteor had travelled 282.885km.

    Here are the questions;
    - how long did it take the meteor to travel 282.885km?
    - and using that time how fast was the dinosaur going to have been so unlucky?

    The difficulty comes from the meteor not just having a velocity but also acceleration.
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  2. #2
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    Re: One Dimensional Kinematics Question

    standard kinematics equation with constant acceleration ...

    \Delta x = v_0t + \frac{1}{2}at^2

    \Delta x = 282.885 \, km , v_0 = 100 \, km/hr , a = 2 \, km/hr^2

    282.885 = 100t + t^2

    t^2 + 100t - 282.885 = 0

    use the quadratic formula to solve for t in hours ... calculate the dino's speed using your calculated time and the distance it traveled.
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  3. #3
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    Re: One Dimensional Kinematics Question

    Why thank you very much, that was very clear.
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