CALCULUS Understanding
Its Concepts and Methods
CALCULUS Understanding
Its Concepts and Methods
Acceleration vector
If the position of an object in the plane at time t is given by the coordinates (x(t),y(t)), then the acceleration vector is a(t) = (x''(t),y''(t)).
If the position of an object in space at time t is given by the coordinates (x(t),y(t),z(t)), then the acceleration vector is a(t) = (x''(t),y''(t),z''(t)).
The acceleration vector measures the change in the velocity vector—how much the object is speeding up, slowing down, or changing direction. If the acceleration vector is zero, then the object is traveling with a constant velocity.
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Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.