please solve ; 4.4 4. A particle has a position changing with time as per the equations below:x = 0.28t + 0.036t2y = 0.019tCalculate the following:4.1 The particle's displacement between t=0s and t=2s.4.2 The particle's average velocity between t=0s and t=3s.4.3 The particle's average acceleration between t=1s and t=3s.4.4 The particle's instantaneous acceleration's magnitude and direction between t=1s and t=3s. Given: x = 0.28t +0.036t? andy = 0.0191Let i and jbeunit vectors along x and y directions.4.1Displacement d is change in position.At,t = 0,x, = 0 andY, = 0At,t = 2s,x, = (0.28×2)+0.036×2² = 0.704m andy, = 0.019×2' = 0.152m= (x, -x,)î +(y, - y,)i putting valuesd = (0.704 m)î + (0.152m) j[Answer]y, = 0Att = 3s,x, = 0.28×3+0.036×3² = 1.164m and y, = 0.019x3 = 0.513m4.2Att = 0,x, = 0andd = (x, -x,)î+(y, - y,)} putting values d=1.164mî +0.513m jAt = 3 sAverage velocity( Vang ) is displacement per unit time.1.164 mi +0.513m jV%3D%3DangangAt3sV = (0.388m/s)i +(0.171m/s)}[Answer]angdx=v, = 0.28 +0.072t and vdtdy→v, = 0.0571?dt4.3V, =At t = ls,v, = 0.28+0.072×1= 0.352 m/s andv = 0.057×1² = 0.057m/ sAtt = 3s ,v = 0.28+0.072×3= 0.496m/s andV =0.057×3² = 0.513m/sAt = 2sAverage acceleration(a) is changein velocity per unit time.(v, –v,)î+(v, -v,)Δνputting valuesAtAt[(0.496 – 0.352)m /s]i+[(0.513-0.057)m/s]jAng2.s(0.072 m/ s²)î+(0.228 m/ s³)j[Answer]

A particle has a position changing with time as per the equations below: x = 0.28t + 0.036t? y = 0.019t Calculate the following: 4.1 The particle's displacement between t=0s and t=2s. 4.2 The particle's average velocity between t=0s and t=3s. 4.3 The particle's average acceleration between t-1s and t=35. 4.4 The particle's instantaneous acceleration's magnitude and direction between t=1s and t-3s.

A particle has a position changing with time as per the equations below: x = 0.28t + 0.036t? y = 0.019t Calculate the following: 4.1 The particle's displacement between t=0s and t=2s. 4.2 The particle's average velocity between t=0s and t=3s. 4.3 The particle's average acceleration between t-1s and t=35. 4.4 The particle's instantaneous acceleration's magnitude and direction between t=1s and t-3s.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 6P: A rabbit is moving in the positive x-direction at 2.00 m/s when it spots a predator and accelerates...

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