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Chapter 4: Q10P (page 84)

The position vector r→=5.00ti^+(et+ft2)j^locates a particle as a function of time. Vector r→is in meters, tis in seconds, and factors e and f are constants. Figure 4-31 gives the angle θof the particle’s direction of travel as a function of t(θis measured from the positivedirection). What are (a) e, and (b) f, including units?

Short Answer

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Step by step solution

01

Given data

02

Understanding the instantaneous velocity

Instantaneous velocity may be defined as the rate of change of position of a particle with time.

The expression for the velocity is given as:

03

(a) Determination of the calue of e

Using equation (i), the velocity of the particle is,

04

(b) Determination of the value of f

The value of θ=0°when t=14.0s

Therefore,

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