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# CALC A web page designer creates an animation in which a ISBN: 9780321675460 31

## Solution for problem 3E Chapter 3

University Physics | 13th Edition

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Problem 3E

CALC? A web page designer creates an animation in which a dot on a computer screen has position (a) Find the magnitude and direction of the dot’s average velocity between t = 0 and t = 2.0 s.(b) Find the magnitude and direction of the instantaneous velocity at t = 0, t = 1.0 s, and t = 2.0 s. (c) Sketch the dot’s trajectory from t = 0 to t = 2.0 s, and show the velocities calculated in part (b).

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Solution 3E Given that Now, position vector at time t= 0s is r (0) = [4.0 cm + 0] i + 0 r (0) = 4.0 cm i Position vector at time t = 2.0 s is r (2.0) = [4.0 cm + 10.0 cm] i + 10 cm j r(2.0) = 14 cm i + 10 cm j r(2.0)r(0) Therefore, average velocity is =2.00 cm/s 14 cm i +10 cm j 4.0 cm j Average velocity = 2 s Average velocity = 5 cm/s i + 5 cm/s j (a) The magnitude of this velocity s = 5 + 5 cm/s = 52 cm/s Let be the angle made by the velocity vector with the x-axis. tan = 5/5 tan = 1 0 = 45 0 Therefore, the velocity vector makes an angle of 45 with the horizontal axis. (b) Differentiating the expression for r with respect to t, v = 5t cm/s i + 5.00 cm/s j When time t = 0, v (0) = 5.00 cm/s j Therefore, the magnitude of this velocity is 5.00 cm/s....

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##### ISBN: 9780321675460

Since the solution to 3E from 3 chapter was answered, more than 864 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Dot, Find, velocity, magnitude, direction. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. University Physics was written by and is associated to the ISBN: 9780321675460. The answer to “CALC? A web page designer creates an animation in which a dot on a computer screen has position (a) Find the magnitude and direction of the dot’s average velocity between t = 0 and t = 2.0 s.(b) Find the magnitude and direction of the instantaneous velocity at t = 0, t = 1.0 s, and t = 2.0 s. (c) Sketch the dot’s trajectory from t = 0 to t = 2.0 s, and show the velocities calculated in part (b).” is broken down into a number of easy to follow steps, and 82 words. The full step-by-step solution to problem: 3E from chapter: 3 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This textbook survival guide was created for the textbook: University Physics, edition: 13.

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