1. Vector A is 3 units in length and points along the positive x-axis, vectoe B
ID: 1774007 • Letter: 1
Question
1. Vector A is 3 units in length and points along the positive x-axis, vectoe B is 4 units in length and points along a direction 40 trom the positive s-axis, and ver 11 units and points along a direction 220 What is the direction of the resultant with respect so the positive -axis in degrees A) 88. B) 200° C) 211.2. D) 242.3. E) 88 2. The position of s perticle moving slong the x-ais is given byo -30et, where s is in metes and t is in seconds Whe is the psition of the perticke when achieves its maximum spood in the positive s-direction? A) 5.6m B) 27mC) 42m D) 3m E) 98m 3. Note the expression y-xWhich stasement is most consistent with this expeession A) y is greer than B) ify doubles, then x quadruples C) ifx triples, then y doubles D) if x doubles, then y quadruples E) if x doubles, then y doubles . A ball is shot with a velocity of 41 ms at an angle of 33 from the top of a 43 m tall building What is the horinontal istance the ball travels when it hits the iground A) 5818 m B) 180 m C) 135 m D) 207 m E) 31.5 N 5. If the velocity of an object is given by V-53-4t-7,when xo-6, what is its displacement after 3.5 soconds A) 336m B) 318 m C) 479.4 m D) 91.8 m E) 193.6 m 6. An airplane starts trom 18 m's and accelerates at 13 m/s What is its speed at the end of a 500 m rumway? A) 215.28 m's B) 86.58 m's C) 361 m/s D) 182 m's E) 115.4 m/s 7· 10aahonthe top ofatower The rock hits the ground at:24x what is the heght ofthe tower? (ar resign" is tghpbl Onur throws a rock down with speed A) 9.8 m B) 29.4 m C) 52.2 m D) 24.5 m E) 72 m 8. A cart is given an initial velocity of 12 m's and experiences a constant acceleration of 5 m/s. What is the magnitude of the cart's displacoment during the finst 7 sf motion? A) 344.4 m B) 252 m C) 180m D) 206.5 m E) 240 m . An object is throwe vertically upward and has a speed of 25 m's whem it reaches 0.75 of its maximum height above the launch point. Determine its initial velocity (ms) A) 38.4 m's B) 93.75 m/s C) 168.75 m's D) 37.5 m/s E) 50 m/s 10. A car slows down from a speed of 42 m's to a speed of 5 m's over a distance of 290 m. How long does this take, assuming constant acceleration A) 10.1094 sec B) 36.54 sec C) 1.638 sec D) 12.34 sec E) 1.45 sec 11. A ball is thrown up in the air with an initial velocity of 26.95 m/s upward. How long does it take the ball to return to the ground? A) 2s B) 12.3 s C) 2.58s D) 2.5s E) 5.5s 12. An object is thrown vertically and has an upward velocity of 30 m's when it reaches 1/3 of its maximum height above its launch poir What is the maximum height of the object? A) 13.5 m B) 68.88 m C) 60 m D) 90m E) 76.7 mExplanation / Answer
1) Let Resultant be R.
Rx = 3 +4 cos 40 degree + 11 cos 220 degree
= - 2.362
Ry = 0+4 sin 40 degree + 11 sin 220 degree
= - 4.5
Angle = 180 +arctan(4.5/2.362)
= 180+62.3 = 242.3 degree
Option d is correct
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