RI-1 Phys1110 Exam 1 Review: Math skills: unit conversion, algebra, trigonometry (sin, cos, tan, Pythagorean Theorem) Motion in 1D graphing: x vs. t, v vs. t, a vs. t t0dx xv limdt t = slope of a graph of x vs. t t0dv va limdt t = slope of graph of v vs. t average vs. instantaneous value of velocity, acceleration "acceleration is not velocity, …." Constant acceleration (a = const) in 1D: (a) ov v a t (b) 2oox x v t (1/ 2)a t (c) 22oov v 2a(x x ) (d) ovvv2 Vector Math Addition of vectors: graphically (tip-to-tail) analytically (with components) Components of vectors, unit vectors xyˆˆA A i A j Motion in 2D t0rv limt 12t0va lim , v v vt direction of a = direction of 21v v v RI-2 Projectile Motion treat x- and y-motions independently ax = 0 vx = constant ay = – g vy = voy – g t , etc Circular motion with constant speed v, 2vaar a is toward the center (centripetal) Newton's Laws net 1 2 3 iiF F F F .. F NI: netF 0 v constant NII: netF m a NIII: AB BAFF Force and motion problems: 1) Free-body diagram 2) Coordinate system with +direction of axis = direction of acceleration 3) x x y yF m a , F m a To prepare for Exam 1: Review Concept Tests, CAPA problems, Tutorial HW. (Read question and try to remember reasoning that gets to the answer) When reviewing CAPA problems, know how to derive algebraic formula for answer. Prepare your formula sheet. Take the practice exam. It is no good to memorize answers. You have to understand and remember how you construct the answers. y vo x vx vy ax = 0 ay = –g a A FAB B FBA r v v a
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