Number 16 part a b c d e f and g can you show all work CarBufferFigure 2-25 Problem 12.TE maldorf US-S...13 ILW You drive on Interstate 10 from San Antonio to Houston,half the time at 55 km/h and the other half at 90 km/h. On the wayback you travel half the distance at 55 km/h and the other half at90 km/h. What is your average speed (a) from San Antonio toHouston, (b) from Houston back to San Antonio, and (c) for the entiretrip? (d) What is your average velocity for the entire trip? (e) Sketch xversus t for (a), assuming the motion is all in the positive x direc-tion. Indicate how the average velocity can be found on the sketch.165 to x rioitizoq sModule 2-2 Instantaneous Velocity and SpeedF14 GO An electron moving along the x axis has a position givenby x == 16tem, where t is in seconds. How far is the electron fromthe origin when it momentarily stops?15 Go (a) If a particle's position is given by x = 4 - 12t + 3t²(where t is in seconds and x is in meters), what is its velocity att = 1 s? (b) Is it moving in the positive or negative direction of xjust then? (c) What is its speed just then? (d) Is the speedincreasing or decreasing just then? (Try answering the next twoquestions without further calculation.) (e) Is there ever an instantwhen the velocity is zero? If so, give the time t; if not, answer no.(f) Is there a time after t = 3 s when the particle is moving in thenegative direction of x? If so, give the time t; if not, answer no.16 The position function x(t) of a particle moving along an x axisis x = 4.0-6.0t2, with x in meters and t in seconds. (a) At whattime and (b) where does the particle (momentarily) stop? At what(c) negative time and (d) positive time does the particle passthrough the origin? (e) Graph x versus t for the range -5 s to +5 s.(f) To shift the curve rightward on the graph, should we include the(e) Gra21t = 5.0constaand (b8.00 mto 9.00the an22the timters arstantwhatFromand ((g) 2(k) 2.Mod•23entercm vatedV =celer•24roortheirnismair C e)(1)ef-n,di-ceteis00st/hnen-ep-lyi-s.thS-S-in5)e?ARTE A DVOJA MOITOM PROBLEMSterm +20t or the term -20t in x(t)? (g) Does that inclusion increaseor decrease the value of x at which the particle momentarily stops?3317 The position of a particle moving along the x axis is given incentimeters by x = 9.75 +1.50t³, where t is in seconds. Calculate (a)the average velocity during the time interval t = 2.00 s to t = 3.00 s;(b) the instantaneous velocity at t = 2.00 s; (c) the instantaneous ve-locity at t = 3.00 s; (d) the instantaneous velocity at t = 2.50 s; and(e) the instantaneous velocity when the particle is midway betweenits positions at t = 2.00 s and t = 3.00 s. (f) Graph x versus t and in-dicate your answers graphically.9167Module 2-3Acceleration00 8JS 2wola nodi18 The position of a particle moving along an x axis is given byx = 12t² - 2t³, where x is in meters and t is in seconds. Determine (a)the position, (b) the velocity, and (c) the acceleration of the particle att = 3.0 s. (d) What is the maximum positive coordinate reached bythe particle and (e) at what time is it reached? (f) What is the maxi-mum positive velocity reached by the particle and (g) at what time isit reached? (h) What is the acceleration of the particle at the instantthe particle is not moving (other than at t = 0)? (i) Determine the av-erage velocity of the particle between t = 0 and t = 3 s.19 SSM At a certain time a particle had a speed of 18 m/s inthe positive x direction, and 2.4 s later its speed was 30 m/s in theopposite direction. What is the average acceleration of the particleduring this 2.4 s interval?dastTamil20 (a) If the position of a particle is given by x = 20t - 5t³,where x is in meters and t is in seconds, when, if ever, is the parti-cle's velocity zero? (b) When is its acceleration a zero? (c) Forwhat time range (positive or negative) is a negative? (d) Positive?(e) Graph x(t), v(t), and a(t).negative dabi moibona lo00tando otill and from

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