• Finding True Wind Speed With a Change of Direction

    A man cycles at a constant velocity \[u \mathbf{j}\] m/s on level ground and finds the apparent velocity of the wind is \[v(3 \mathbf{i} - 4 \mathbf{j} )\] m/s. When he cycles with velocity \[ \frac{u}{5}(-3 \mathbf{i} + 4 \mathbf{j} )\] m/s, the...

    https://astarmathsandphysics.com/a-level-maths-notes/m4/5077-finding-true-wind-speed-with-a-change-of-direction.html

  • Collisions in Mid Air

    Particles will collide if they are in the same place at the same time. Particles that collide in mid air, subject only to the force of gravity will be moving as projectiles, and the simplest typ of collision that can take place is between particles...

    https://astarmathsandphysics.com/a-level-maths-notes/m1/3553-collisionjs-in-mid-air.html

  • Abgle Between Curves at a Point

    Suppose two curves meet at a point. We can find the angle between the curves by considering the gradients of the tangents to the two curves at the point. Example: \[C_1 :x^2+y^2=25, \; C_2:y=x^2-5\] . To find intersection points solve the simultaneous...

    https://astarmathsandphysics.com/university-maths-notes/elementary-calculus/5319-abgle-between-curves-at-a-point.html

  • A Brief History of the Elements

    The ancient Greeks 2,000 years ago thought there were only four elements – earth, air, fire and water. Chemistry was a very primitive affair, since experimental physics was unknown. Instead scientists came to conclusions using reason and deduction....

    https://astarmathsandphysics.com/igcse-physics-notes/368-a-brief-history-of-the-elements.html

  • Using Matrices in Cryptography

    Cryptography hiding and uncovering information in codes. Whenever information is required to be sent from one place to another so that even if it were intercepted it would still be secure, it must first be put in the form of some code. When it is...

    https://astarmathsandphysics.com/ib-maths-notes/matrices/1011-using-matrices-in-cryptography.html

  • Definitions

    Terms commonly used everyday by ordinary people may have a slightly different meaning in physics. Many people for example confuse velocity and speed. These are not the same, the difference being that velocity is the speed of a body in a certain...

    https://astarmathsandphysics.com/ib-physics-notes/mechanics/1356-definitions.html

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