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Chapter 11: Q. 7 (page 898)

Given that an object is moving along the graph of a vector function r(t) defined on an interval [a,b], what is meant by the displacement of the object from t = a to t = b?

Short Answer

Expert verified

The displacement of the object fromt=atot=bisr(b)-r(b).

Step by step solution

01

Step 1. Given

An object is moving along the graph of a vector function r(t) defined on an interval [a, b],

02

Step 2.  Explanation

Displacement

Let the vector-valued function r(t) represents the position function for a particle moving on a curve c. a and b are the points contained in l, the domain of r. then the displacement of the particle from a and b is given by the vector r(b)-r(a).

Thus from the definition, the displacement of the object from

t=atot=bisr(b)-r(b).

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