Question

1.

Vectors A and B lie in an xy plane. A has magnitude 5.2 and angle 121°; B has components B - -8.80 and By - -5.09. (a) What is 5A-B ? what is 4A x 38 in unit-vector notation ((b), (c) and (d) for i , j and k components respectively)? (e) what is the angle between the directions of A and 4A x 38 7 what is A + 3.00k in unit-vector notation (), (a) and (h) for , and k components respectively) and magnitude-angle notation with spherical coordinates ((i) for magnitude, (j) for θ and (k) for ?

2.

A wheel with a radius of 76.0 cm rolls without slipping along a horizontal floor (see the figure). At time t1, the dot P painted on the rim of the wheel is at the point of contact between the wheel and the floor. At a later time t2, the wheel has rolled through one-half of a revolution. What are (a) the magnitude and (b) the angle (relative to the floor) of the displacement of P during this interval? At time t, At time 2 (a) Number Units (b) Number

6.

A particle leaves the origin with an initial velocity[3.14i| m/s and a constant acceleration a 4.40i - 2.46/ m/s 2 . when the particle reaches its maximum x coordinate, what are (a) its velocity, (b) its position vector? (a) Number| Units (b) Number| Units

4.

In the figure, particle A moves along the line y 30 m with a constant velocityV of magnitude 2.6 m/s and directed parallel to the x axis. At the instant particle A passes the y axis, particle magnitude 0.42 m/s2. what angle θ between a and the positive direction of the y axis would result in a collision? e leaves the origin with zero initial speed and constant acceleration ã of

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