MAT 21C Lecture Notes - Lecture 16: Projectile Motion, Product Rule
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MAT 21C Full Course Notes
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Announcements: hw6 due 11/2; ec2 due 11/1, midterm 2 11/4. At t i a particle is at position (x, y, z) where x = f (t), y = g(t), z = h(t). The collection of all the points (x, y, z) for all t i make up the curve in space called the particle"s path. Let ~u and ~v be di erentiable vector functions of t, ~c a constant vector, c any scalar, and f any di erentiable scalar function: constant function rule: d dt. If ~r is a di erentiable vector function of constant length. ~r (t) ~r (t) = c2, then ~r d dt ~r = 0. If ~r is the position vector of a particle moving along a smooth curve in space, then ~v (t) = d ~r dt is the particle"s velocity vector, tangent to the curve. Newton"s second law of motion: force acting on projectile is equal to the projectile"s mass times its acceleration.
