Which one of the following is an example of a vector qur 2n -v d,uaql2(bd2uvantity?

  Which of the following operations will not ch b11wu2dd6d kj 4 lfnlfxjc4x2(j)p6wange a vector?

  Which of the following vcfyp*h4,e wy9s 1)yris an accurate statement?

  The resultant of two vectors is the smallest whenx57/sa ht8 df8 0edtgs the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 ma5jj4j h+*zh yg3xji +gc;,rcrus:u/, respectively. When these two vectorz5:i/guurr;c 4x*,ja + + ygsj3chjh js are added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of the folzpy rdqya3 :1rt jq06w0b w;y7lowing is a possible answer for the magnitude ofrjw3zrq1b7 6w y0;pty d0a:q y the resultant?

  Three forces, each having a magns27a:xmlzb +8sv z7v gitude of 30 N, pull on an object in directions that 87zavg+zbsms2:x 7l vare $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vecto x9/n* ev+b 0-qp j 3s:i. jse1lbeepptz/rw3zr is

  Ignoring air resistance, the horizontal component of a projkafq /w( bx1zwqud4,-ectile's velocity

  A ball is thrown with a velocity of 20 m/s at an anglivze)joqlpzc0.b3: : e of 60e above the horizontal. What is the horizontal component of its instantaneous velocity at the exact to3)vl. o0 pbz:ze cj:iqp of its trajectory?

  Ignoring air resistance, the horizontal component of a projecti npbr15 9o3 yawsjj.z8le's acceleration asj .1onw3z5 p9r8byj

  A soccer ball is kicked with a velocity of 25 m/s at an vt rrye h:ydlz)j*36./d, fjm angle of $45^{\circ}$ above the horizontal. What is the vertical component of its acceleration as it travels along its trajectory?

  If the acceleration vector of an objemfcm,lvd t0s//4t hl8ct is directed anti-parallel to the velocitc m/8lsvh4dl/f0tt m, y vector,

  If the acceleration of an object is always di(w( sjb j.b8u+i f7jaznizq9 4rected perpendicular to its velocity,b7fia nq((zwzj4u .j89+bji s

  At what angle should a water-gun be aimed in order for the water to lan5bl 68uz k t1ibed3n3nd with the greatest horib3neidz 3blkut 6n185 zontal range?

  An Olympic athlete throws a javelin a/ o4ged x7zyi2/zuwo(t four different angles above the horizontal, each witzgo7 zyx4o u(e/wd/i2 h the same speed: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a ball for the second time. If tol)4tz m yq26khe ball leaves your hand with twice the velocity it had on your first throw, its horizontal range R (compared to your first serve) wmlq4 yk6o)2tz ould be

  A ball is thrown at an original speed of 8.0 m/s at an angle ofo q433fak nuw(z9oe q8uc*.x t $35^{\circ}$ above the horizontal. What is the speed of the ball when it returns to the same horizontal level?

  When a football in a field goal attempt reaches its maximumqt0 r0u1n1fr;izsa 2sn 2kw:w height, how does its speed compare to it s 20sq02in:zw1 ak1n;rufrwts initial speed?

  A stone is thrown horizontally from the top of a tower at the same inz qwyxsi3.j3 + y dn7pv-.vn9ostant a ball is droppw.937i3+nny- o vzjqx sy.v dped vertically. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizo oos+*k d8v ew-q6t:pvntally, and at the same instant a second bullet is dropped from the same height. Ignore air resistance. Compare the timeet:pd vk-w6*8v + osqos of fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/s a0, yuh ezef:v+nd at an elevation of 160 m drops a package. Two+ey,:fz0uh v e seconds later it drops a second package. How far apart will the two packages land on the ground?

  A package of supplies is dropped from a plane,st; xv6mg 4qv( and one second later a second package is dropped. Neglecting air resistance, the distan (xmtvqs;46g vce between the falling packages will

  A pilot drops a bomb from a plane flying horizontbd:4icwj:jk5kf36j3jf7qw p l7 7iyjally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the plane wijbd 7jq4 cyilf5: jipfw3k j6 :7w7k3jll

  The acceleration of gravity on the Moon is only on2ql e,y 9x;3fby;zh uyh2e z/ee-sixth of that on Earth. If you hit a baseball on the Moon with the same effort (and at the speed and angle) that you would on Eart3 ,x2yqb9;z/ yzfheheley2u ;h, the ball would land

  You are traveling at 55 mi/h in the +x axico7(o7 .hdilxb-god)s ;mqpy4v5d h;s relative to a straight, level road and pass a car traveling at 45 mi/h. The relative velocity)7 ( - xg dc5;viho.d7lqhpdb;mo 4osy of your car to the other car is

  You are trying to cross a river that flows due south with a strong curjd7q8tkd0-oi n v u+(crent. You start out in your motorboat on the n80 7(qk-dtju i d+vcoeast bank desiring to reach the west bank directly west from your starting point. You should head your motorboat

  Your motorboat can move at 3yg /oc6 +ol/zg0 km/h in still water. How much time will it take you to move 12 km downstream,lg y g+o/6ozc/ in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degrees below the +x ald dqfpv+m))mhv0 w8*xis. The y component of vfm mdd )l wv0+8*)pqhA is

  If a ball is thrown wp8v4if9;.b/xuw o goi)qd 4hz1od 4xrith a velocity of 25 m/s at an angle of $37^{\circ}$ above the horizontal, what is the vertical component of the velocity?

  If you walk 6.0 km in a straight lik/b4rz( qa/ t0q g2kfune in a direction north of east and you end up 2.0 km north and several kilometers east. How many degrees north of east ha bagq(zft kur/0q/4k2ve you walked?

  A butterfly moves with a speed of 12.0 m/s. The xsui +7dx0fl 6b component of its velocity is 8.00 m/s. s6l u bfid70x+ The angle between the direction of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level ground. At what ang u8zzy3ia*q n 0lj:.mb9-ub rple is the Sun elevated above thenyz90z3.b-mbur l:8paq * iuj horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), respectivel awked169bdfrs9, id) y. What are the components off 9b,1waddeik9 6s)dr the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1,wo/z3ay/ * jje 3), respectively. What is magnitude ofwjoa* zej/y /3 the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B 6(q;xo2 li 9tzad3gxs k)(bbw. What is the magnitude of C iw)b z;s x(a92lqg 63dkbtox(?

  A car travels 20 km West, then lqkip j)**b 1qm49cxxcky3k )20 km South. What is the magnitude of its displacement?qkx 9c13m* )qp*xblc )jy4k ik

  Three vectors, expressed in Cartesian coordinates,9( lc c ixcg,bzi9(jk7 are
S = (-3.5,+4.5)
T = (0,-6.5)
U = (+5.5,-2.5)
What is the magnitude of the resultant vector S + T + U ?

  Three vectors, expressed in Carj8igm 48ba r9stesian coordinates, are
S = (-3.5,+4.5)
T = (0,-6.5)
U = (+5.5,-2.5)
What is the angle of the resultant vector S + T + U measured from the positive x axis?

  If vector A = (-3.0, -4.0) and vector B = (+3.0, -8.0), what is the ma+wnz tb: a.wr*gnitude of tbr *nz+ww a.:vector C = A - B ?

  A runner runs halfway around a circundwi0b)lc +z 8id6)(y y kcq4rlar path of radius 10 m. What is the displacement ri idyd) 4+8bccq)k (6ly0wnz of the jogger?

  Two forces are acting on an object as shown in Fig. 3-1. W8z,i em34 bazehat is the magnitude of the resae38zb, ei mz4ultant force?

  Two forces are acting on an object as shown in Fig. 3-1. What is thewq)0m5;lf0rm xxz cm; direction of the resu0mz fql;m5m;x )0 wxcrltant force?

Vector A is 5.5 cm long and poi)wbqmw/qdew+uwe ,l/u1* e3qd i6xs 8nts along the x axis. Vector B is 7.5 cm long and points at +30e to the negative x axisu3e6 d,b*w 1/)qe ew slwuwx i/mq8dq+.
(a) Determine the x and y components of Vector A .
(b) Determine the x and y components of Vector B.
(c) Determine the sum of these two vectors in terms of components.
(d) Determine the sum of these two vectors in terms of magnitude and direction.

Vector A is 75.0 cm long and 9lmiz6ucamamdp6-+q .5 wd 8rsc r93bpoints at $30^{\circ}$ above the positive x axis. Vector B is 25.0 cm long
and points along the negative x axis. Vector C is 40.0 cm long and points at $45^{\circ}$ below the negative x axis.
(a) Determine the x and y components of Vector A .
(b) Determine the x and y components of Vector B .
(c) Determine the x and y components of Vector C .
(d) Determine the sum of these three vectors in terms of components.
(e) Determine the sum of these three vectors in terms of magnitude and direction.

  A stone is thrown horizontally+eaj fu0 t+-0nk( t4tq 3hezog with an initial speed of 10 m/s from the edge of a cliff. A stop watch measures the stone's trajectory time from the top of the cliff to the bottom to be 4.3 s. What is the f- 3eg+u okatzhqet tn40+(j0height of the cliff?

  A girl throws a rock horizontally, with a velocity of 10 m/s, from a bri4 mx,.hmc tpcbq.s12 rp.5joedge. It falls 20 m to the water below. How far does the 1e crsmphpt .o .mqc5xb4 j,2.rock travel horizontally before striking the water?

  A ball thrown horizonth1mq puchlle,0t 1/f); / mqxwally from a point 24 m above the ground, strikes the ground after traveling horizontally a distance of 18 m. With what speed was it thrh q c1q)p/h/, ul0 ltmm1w;xfeown?

  A jumper in the long-jump goes into the jump wh;rap iyu;eda f o6em*-5(w1bith a speed of 12 m/s at an angle of 1 yhfr;a *;d5 -eapiow6 umeb($20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jump goes into 1upw:m 5zqo bm,q3mx+the jump with a speed of 12 m/s at an angle of 1q xq5,mom zmu3bw:+ p$20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial veloci 6qqo-h9r24gy 4v/zhph1qiqoty of 60.0 m/s at an angle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial velo*9wt)u chzjn465x j-c lzi* rwcity of 60.0 m/s at an angle of $30.0^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at an angle ofeybrp, p;8bur lwo660s)jf a7 $30^{\circ}$ below the horizontal with an initial velocity of 800 m/s from the top of a cliff 80 m high. How far from the base of the cliff does it strike the level ground below?

A projectile is shot horizontally at 23.4 m/s from the roof of a bu0r8f:ug *c mpjcy:1y iilding 55.0 m tall.gc:i p 18:j*ycufmr0y
(a) Determine the time necessary for the projectile to reach the ground below.
(b) Determine the distance from the base of the building that the projectile lands.
(c) Determine the horizontal and vertical components of the velocity just before the projectile reaches the ground.

A projectile is fired from ground level with an initial s5/kboy*9t*e- h hr hwipeed of 55.6 m/s at an angle of kr-y9hw*5hb/e o*i h t$41.2^{\circ}$ above the horizontal.
(a) Determine the time necessary for the projectile to reach its maximum height.
(b) Determine the maximum height reached by the projectile.
(c) Determine the horizontal and vertical components of the velocity vector at the maximum height.
(d) Determine the horizontal and vertical components of the acceleration vector at the maximum height.

  On a calm day (no wind), you can run a 1500-m race at a velocity of 4.0 m/s *jja)zy sbt(cf7d3* n. If yoz y)d3fj*t(nc ab*js7 u ran the same race on a day when you had a constant headwind which slows your speed by 2.0 m/s, the time it would take you to finish would be

  A plane has an air speed of 200 m/s due North, and + l3nt3 bysjxlhzj +rigws5o442-ke 5is in a wind of 50.0 m/s to the West. The plane's speed relative to l h5ze5io 4txyr+k3 -njg sjw+sb43l2 the ground is

  A plane is flying due So)bebu7 kgrk4da) n 3oy5vf(/bv m)m)b uth ($270^{\circ}$) at 500 km/h. A wind blows from East to West ($180^{\circ}$) at 45.0 km/h. Find the plane's velocity with respect to the ground.

  An airplane with a speed of 1sa ck;h3as,a/20 km/h is headed $30.0^{\circ}$ east of north in a wind blowing due west at 30.0 km/h. What is the speed of the plane relative to the ground?

  A fighter plane moving 200 m/s horizontally fires a projectile witu/d*)t a-ceig h speed 50.0 m/s in a forward dit*cdie -/agu) rection $30.0^{\circ}$ below the horizontal. What is the speed of the projectile with respect to a stationary observer on the ground?

  A boat, whose speed in still water is 8.0 m/s, is directed across a riv:.w *0jkft+idqwyt/m) z.fm7gu wpc, er with a current of 6.0 m/s. What is the speed of the boat as it crosses i,jw)ct.7wzfmykm +pt.:q */gdw uf 0the river?

  The driver of a motorboat that can move at 10 m;vf0s7b xw fel* :d(or-mhct) /s in still water wishes to travel directly across a river 1.6 km wide in which thfe- vd r:w7fs (hcmbx o0;l)t*e current flows at 5.0 m/s. How long will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in still vm4b( nrh/d v ; ury:x,;pq.cdwater wishes to travel directly across a narrow stra; d/xb(ur.ph4; ,cd n qmvr:vyit in which the current flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly across at)ts6 eutjm9l dy*d*mwj-0h) river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m.jel*sdwh-6dj)t9u 0my m*)tt How fast can she swim in still water?

  A swimmer heading directly acib5s +r myon/wuf*x+)ross a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swepufs+ boiy/x)*n mw+ r5t downstream 480 m. What is the speed of the current?

A boat, whose speed in still water is 1.75 m/s z8 b;1lm-+k6rsoh-o 8tw wlbb, must aim upstream at an angle of8+b1 8wbh;m6l -br l ks-twozo $26.3^{\circ}$ (with respect to a line perpendicular to the shore) in order to travel directly across the stream.
(a) Determine the speed of the current.
(b) Determine the resultant speed of the boat with respect to the shore.