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An object has a position as a function of time given by: R = (2t4) i + (9t3 + 2t) j What is the magnitude of its velocity when t= 3 s ?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 11P: A particle moves along the x axis according to the equation x = 2.00 + 3.00t 1.00t2, where x is in...

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Distance and Speed

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Question

An object has a position as a function of time given by:

R = (2t⁴) i + (9t³ + 2t) j

What is the magnitude of its velocity when t= 3 s ?

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An object has a position as a function of time given by:

R = (2t⁴) i + (9t³ + 2t) j

We need to find the velocity when t = 3 seconds.

The velocity of an object in terms of position is given by :

$v = \frac{d x}{d t}$ ...(1)

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