Recent content by ezsmith

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    Solving Projectile Motion: Ball Thrown from Building

    After thinking real hard for almost 2 days. I know that my horizontal and vertical component has the same time is in flight. So I can use resolve my t initially in the horizontal component of the flight using Sx = Vicos30 t right. So wouldn't be t = Sx / Vi cos 30 Knowing my Sx is 80 and...
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    Solving Projectile Motion: Ball Thrown from Building

    For my vertical component, its -35 = Vi sin30 t -4.9t^2 At this stage, how am I going to solve with Vi being an unknown instead of a value?
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    Solving Projectile Motion: Ball Thrown from Building

    Oh, I think I figured it out So its, I use Vx = Vicos30° V = s/t V = 80 / t cos30° Then with this equation V = 80 / t Vicos30° I sub into my component y which is -35 = Vi sin30 t-4.9t^2 -35 = 80 sin30 t/ t cos30° - 4.9t^2 t = 4.07s Is it right?
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    Solving Projectile Motion: Ball Thrown from Building

    Homework Statement This is a review question from the test I did few months back, and I need to review it for my finals. A ball is thrown from the top of a building 35m high with an initial speed of Vi at an angle 30° above the horizontal. The ball strikes the ground at a point 80m from...
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    Solving Inequalities: Tips & Tricks for Beginners

    Hi, I used to do all this type of inequalities but I have not practice this for almost a year and I have totally forgotten and didn't know why did the sign change. For example: If it's 3x ≤ 9 The answer: x ≥ 3 Is this right? I have actually forgotten in what circumstances we are suppose...
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    Distance between the point and the plane

    Homework Statement Determine the distance between the point (10,2,3) and the plane determined by the points A(2,3,0), B(3,1,4), and C(5,2,1). The Attempt at a Solution What I did was I took (B-A) and (C-B) and then I cross product (B-A) and (C-B) and I got -10i + 11j + 5k. After this step...
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    Shortest distance between lines and the lines

    Sorry for the late reply and thanks for the reply algebrat and ehild.. Its really helpful as I am pretty stuck earlier. Just to make sure whether I am on the right track. After doing cross product which is -22i-22j+11k. I found the magnitude of the cross product which is 33 and then I took the...
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    Shortest distance between lines and the lines

    Homework Statement Find the shortest distance between the lines r = (0,7,6) + t (-3,2,2) and the line r = (-3,6,-4) + s (2,-5,6) The Attempt at a Solution What I did was I cross product s(2,-5,6) & t(-3,2,2) then I took (0,7,6) - (-3,6,-4) After getting both answer from the 2 steps I took...
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    Angle between line l and line m is 60degree

    Yea finally I am able to solve it. I was having dilemma on the square root part but your advice had been really helpful. Thanks a lot HallsofIvy. Cheers :smile: I got my answer a = \sqrt{30}. I accidentally put s(1,2,-1)xt(5,a,-5) when its suppose to be s(1,2,-1)xt(5,a,5) therefore its suppose...
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    Angle between line l and line m is 60degree

    Homework Statement The line l has the equation r= s(1,2,-1) and the line m has the equation r= (0,1,1)+t(5,a,5). Find the value of a such that the angle between the line l and m is 60degree. The Attempt at a Solution What I did was use the equation s(1,2,-1)xt(5,a,-5) = \sqrt{1^2 + 2^2 +...
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    Limitation first principle method

    Yea, I meant by expanding the (x+h)3. I had managed to solve it using binomial theorem and it has saved me a lot of trouble. Thanks a lot Infinitum. Cheers :)
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    Limitation first principle method

    Homework Statement Should be a simple question but its really tough for me because my lecturer had never teach me before about x^3 Anyway, the question is find the first derivative by using first principle method : c) x^3+2x^2+1 Homework Equations The Attempt at a Solution I...
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    Find cartesian equations of the line of intersection of the planes

    Never mind. I managed to solve it. Thank you for the reply :)
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    Find cartesian equations of the line of intersection of the planes

    Homework Statement Find cartesian equations of the line of intersection of the planes x+3y-6z =2 and 2x+7y-3z=7 The Attempt at a Solution What I did first was I cross product the 2 equation and then I got 33i-9j+k Then I took both of the equation and let y = 0. After that my answer seems...
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    Cartesian equation of the plane through the given points

    I did listen in class but the lecturer only gave notes to copy during class and there is no example given in the notes so that is why. Anyway, I managed to solved it. Thanks a lot sir.. Really appreciate it :)
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