Question

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3. Calculate the magnitude of the following vectors, and draw them on an x-y coordinate system: A=i- j and B = 2î +3j. Add the two vectors graphically (show their resultant on the same x-y coordinate system). (10 points) 4. The position of an object is related to time by x=-21+4t+5 (where x is in meters and time in seconds) a) Find the instantaneous velocity and acceleration of the object as a function of time; b) Where is the object when momentarily at rest? c) At what time is the particle passing through the origin of the x-axis? (20 points)

Answer 1

3 Given A = 7-9 K-45 a= tant 28 +39 magnitude of a = b = 513 3. = 56.31 add vector by barallelogram > R S A Hexe 11 R = Resultant of vectors A & B. Ř - À + z = (1-2) + (art 3) + magnitude gnitude of R=R= direction of Ř = 0 = tani So, 513

1.) new owy wys 45 - W44 Also, Instantaneous acceleration fainst y = dv dt d - 15 at when object momentarily then itt u Soy bosition of object at (t = 13) -2 (1)2 +4(1) ts - 2+4+5 7 = 1 a) Prticle will pass through origin when xco tytys 2t²-uts=0 += 4 I 516-4(2)(-5) 1.99 s Os -