I want full answer please for my homework. Talbah University-Yant Bdh Cone\" Eng

Question

I want full answer please for my homework.

Talbah University-Yant Bdh Cone" Engineering avanhu Mechanical Engineering Department ME 242 Dynami instructor Dr lU Homework 1 Due Data:18.febaag 'aer Section den Name Student ID The Purion of . particle il givi" by = 2ts_4ora +200t-50' where , is in meter, and / in seconds. Find the velocity and acceleration as fuctions of time. Desermine the time which the velocity is zero Thn velocity of. Particle is given by u-2-w + sr%, where , is in seconds and v in in Find its position s, velocity v, ond acceleration a when ,-3x The starting P en ion of thi particle -0is,-3 2. A car comes to a complete stop from an initial speod of No knulh in a distance of 30m (a) Desermine the ncceleration of the cat (b) What will be the stopping distance if the car hed an initial speed of 120 kmh and the sme contam accelensticn as in part (a)? 4. A matorcycle stanss from rest with an initial acceleration of 3 s, and the accelen the changes with distance s as shown. Determine the velocity or the minorcycle when , “ 200 m. S. A parick moves with curvilinear motion with coondinates given byt+ 20 nd y - 3sin2t. Deternine, r-3 sconds: (a) the nagnitodes of velocity and acceleration vectoes, and (b) the angles which these vectors make with the x-axis

Explanation / Answer

1. x = 2 t^3 - 40 t^2 + 200 t - 500

v = dx/dt

v = 6 t^2 - 80 t + 200 .....Ans

a = dv/dt

a = 12 t - 80 .....Ans

v = 6 t^2 - 80 t + 200 = 0

t = 10/3 and 10 sec .....Ans

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