Unformatted text preview: 12.3 — Velocity and Acceleration The velocity vector and acceleration vector are analogous to what we learned in Calc 1
(proofs are in the book). So, ._\
W) = r '(t) = X'(t)i + y'(t)j 30): Vl(i§) :. (”6%) speed = ||V(t)” = llr'(t)|| = é.” (/6 )J z +[y/Kfjj 2 D15 (M W D 3
Ex: Find the velocity, acceleration, and speed of the object at the given t—value.
Sketch the velocity and acceleration vectors on the position graph. r(t)=ti—t2j att=2 r(t)=costi+3sintj att=7r/6
.. . - x:
v04 a J w
_.J.‘ £4? 2
3 UV 2 [:2 ...
View Full Document
- Winter '08