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PSC 1121 Lecture Notes - Lecture 4: Graph Paper, Document Camera

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lemoncrocodile359

23 Mar 2017

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Department

Physical Sciences

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Professor

Thomas Brueckner

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Document Summary

Last time we looked at graphs of motion and analyzed them: graph of position vs. time, in spatial dimensions i. e. , x, y graph paper, like a set of strobe photos iclicker question: snapshots is 0. 2s. In this simulated strobe photo of a car"s left to right motion, the strobe"s interval between. B is correct: car is moving rightward and speeding up! C is correct: initially moves horizontally to the right (positive portion of line), then comes to a stop (portion of line at 0m/s), then starts moving leftward (negative portion of line: the run of this graph is 2s. The meaning of it is (i think it"s c ) C is correct: it"s the duration (elapsed time) of the motion: the rise of this graph is -4m/s. The meaning of it is (i think it"s b ) D is correct: it"s the object"s v: the rise over run of this graph is -2m/s2.

Related textbook solutions

Physics: Principles with Applications

7th Edition, 2013

ISBN: 9780321625922

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Related Questions

A particle moves according to a law of motion is measured in seconds and s in feet.

(a) Find the velocity at time t.

(b) What is the velocity after 1 second?

(c) Whan is the particle at rest?

(d) When is the particle moving in the positive direction?

(e) Find the total distraveled during the first 6 seconds.

(f) Draw a diagram like Figure 2 to illustrate the motion of the particle.

(g) Find the acceleration at time t and after 1 second.

(h) Graph the positio, velocity, and acceleration function for

(i) When is the particle speeding up? When is it slowing down?

Consider the two situations: in the left panel, a block ofmassm moves with speed v = 2m/s on a frictionless incline andin theright panel, a hollow cylinder (hoop) of the samemass m and withradius R rolls without slipping with thecenter-of-mass velocity v=2m/s on a horizontal surface towards anincline. (The surfaces inthe right panel are not frictionless,this allows the hoop to rollwithout slipping.)

a.) Which of the two objects has the largerkineticenergy?

b.) Do you expect the two objects to reach the sameheightbefore they start moving down again? Why or why not?

c.) For each of the objects, calculate the height it willreachbefore it moves down again. Please use g = 10m/s²;themoment of inertia of the hoop is I = mR².

d.) Now imagine that the surface of the hoop's inclinewasfrictionless. In this case, do you expect the hoop to reachaheight that is greater, the same, or smaller than thatcalculatedin c)? Give a brief explanation.

A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet.

(a) Find the velocity at time t.

(b) What is the velocity after 1 second?

(c) When is the particle at rest?

(d) When is the particle moving in a positive direction?

(e) Find the total distance travelled during the first 6 seconds.

(f) Draw a diagram like a Figure 2 to illustrate the motion of the particle.

(g) Find the acceleration at time t and after 1 second.

(h) Graph the position, velocity, and acceleration functions for 0 ≤ t ≤ 6.

(i) When is the particle speeding up? When is it slowing down?

FIGURE 2

f(t) = t³ – 8t² + 24t