Which one of the following is an example of a vector z /ddypjni(* 2u,xjm5e+-uid quantity?

  Which of the following o 91ty+ ogbzbv:+8 krsnperations will not change a vector?

  Which of the following is ar x;6tmkw t/py:/p;vv n accurate statement?

  The resultant of two vectors is the small( h8z)/- nyd6muxzm pdest when the angle between them is

  Two displacement vectors have magnin qh27,e65w fopzq 3rcd0 xtq:tudes of 5.0 m and 7.0 m, respectively. When these two vectors are aqd7rqn,0 ox36wf t: z2h5 peqcdded, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are addedb/:x y/3hw qzv. Which one of the following is a possible /3/bwq: vzxh yanswer for the magnitude of the resultant?

  Three forces, each having a magniwxplnz xmi0;;y, mt x(5/a2at tude of 30 N, pull on an object in directions that a2wmxm ,;at0i t(x p5/z;layxnre $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unkn77:w 40 kg pglg 7he+dpskgp(mozpb:*own vector is

  Ignoring air resistance, the h. epxi 4q*pbu4v.p. 5cv1( jma2lq. rdi6gtdi orizontal component of a projectile's velocity

  A ball is thrown with a velocity of 20 m/s at lrc5/(g.xau z an angle of 60e above the horizontal. What is the horizontal component of its instantaneous velocity at the exact top of its c .gua(zlx5r/trajectory?

  Ignoring air resistance, the horizontal componeyz (a.*kbi ixj-u 0(qknt of a projectile's acceleration- *b(yxk(.jiazk i0 qu

  A soccer ball is kicked with a velociq4iui+ qqsf e3 wvf);2ub4(oity of 25 m/s at an 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 object is dires6. o1or-rvmxj4 blnr /e 4om3cted anti-parallel to the velocity mx.b/143r voj o-4lmner6ro s vector,

  If the acceleration of an object is always dire0 ybl 4o haf)92bhwp8lcted perpendicular to its velocitfb wo 2p4 hy)9bllah80y,

  At what angle should a water-gun 5nbu n fupk+4ndsn1-at54 j m;be aimed in order for the water to land with the greatest horizontal rangebf+nmjk4nt5u5s4 ;p nud a-1 n?

  An Olympic athlete throws a javelin at four dir6* +zexxt, nxfferent angles above the horizontal, e,+6xz x e*nxtrach with 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 the ball leau3 9e2z:jxo/u ocr,xmnt* 3vzves your hand with twice the velocity it had on your first throw, its horizontal range R (compared to your first serve) wou*u2ex,z3jr:3o9xu moc tvn/ zld be

  A ball is thrown at an original speed of 8.l5u)9hx8kc4it iw od1 oai-,k0 m/s at an angle of $35^{\circ}$ 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 maximum height, how .c,/b 1ue snnvdoes its speed compare to its initial . ,vbe1cns/nuspeed?

  A stone is thrown horizonm yil++hc ,g8htally from the top of a tower at the same instant a ball is droc8ilhg y ,hm++pped vertically. Which object is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at ccpa.ql3 b7 vnzl;u 1*the same instant a second bullet is dropped from the same height. Ignore air resistanclzvbn.*7plcc1 3a; que. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/s and at an elevae4 nzh- bud.jvl22/7jlpvha 3tion of 160 m drops a package. Two seconds later it drops a second package. How far a2/ujd3 .jevhh4lz bvn2p7 -a lpart will the two packages land on the ground?

  A package of supplies is dropped from a plane, and one second later a second pabv8 59cp.ao whckage is dropped. Neglecting air re vhp9oc8a .w5bsistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flyiv/ d)d nl 3,yz7fkyxu0ng horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the v7n )xyu/zf ldd,k30yhorizontal location of the plane will

  The acceleration of gravity on the Moon is only one-sixth of that l71gq t5(e 4yv tndf1acy2.skon Earth. If you hit a baseball on the Moon with the same effort (and at the speed and angle) that you would on ysakqf nt ec1g 74vty(2ld1 .5Earth, the ball would land

  You are traveling at 55 mi/h in the +x axis relative to a straightvgs (nz-0zfw 2, level road and pass a car traveling at 45 mi/h. Thes nv(z2z0g w-f relative velocity of your car to the other car is

  You are trying to cross a river tha i f+taqk4e*/cko22dy t flows due south with a strong current. You start out in your motorboat on the east bank *4 okfq c2yeik/2+tda desiring to reach the west bank directly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still water. How much tfjig(c8l k:j; po r*fqaq8u81ime will it take you to move 12 km downstream, in a river flo8uj; 8faf:r qpk* gq8l ijc1(owing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 d2/34bpwaw 6 sb+1gt el5cgvqk egrees below the +x axis. The y component of A isq+bawsl v5e3pt4w6kg 21c b g/

  If a ball is thrown with a velocity of 25 m/s a7t, ca;k+csv8i-zep0f oiu9ht 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 line in a direction north of east and you end uxw v q-b;5a3vx1c azt-p 2.0 km north and several kilo 1; w-ax5catx3zb-qvvmeters east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x componei -kf cu,vjp06 h)tfz1r0l)idnt of its velocity is 8.00 m/s. The a 1c khzd,0futj-r6i vfp)i 0)lngle between the direction of its motion and the x axis must be

  A 400-m tall tower catf*8 yw d :en.ud5g8cxwn6s :lsts a 600-m long shadow over a level ground. At what angle is the Su5d:clwdxn*8yu w8. t: sg6nfen elevated above the horizon?

  Two vectors A and B have components (0ztv-o hk-h+- j.dejse *p:b1 v, 1) and (-1, 3), respectively. What are the components of the sum of these two vectorsv+ts hhkje :o-bj-1ev.pz *d-?

  Two vectors A and B have components (0*gncb(ktvs 2 tzvdp (jwf)bw-n9v)3e5k 8u3x, 1) and (-1, 3), respectively. What is magnitu9ju)3 tv x(nn3kvz-d wvf2b8k b(epc g *5wst)de of the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vector C = A + B . What is the magny)p p43r,cnxq (v :goxitude of(xg4cq xn:oyvp)r,3p C ?

  A car travels 20 km West, then 20 km South. What is the magnitude of 1 /ba2h ypgh6lits displacg 6/a1lp2hhbyement?

  Three vectors, expressed in Cartesiai9 z1cdl1ep7f.c5ywnx n-hyqh9gm, 9 n coordinates, 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 Cartesian coo4 ;juv k2ltg/srdinates, 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), wf-6e(knowc8x/tz b; dhat is the magnitude of vecc/kbe(f-8tn o 6 wdxz;tor C = A - B ?

  A runner runs halfway around a circular 60oo4z4i(tao ql *lro path of radius 10 m. What is the displacemena ol46 or oqi40l(zt*ot of the jogger?

  Two forces are acting on an object as shown in Fig. 3-1. ;ud/ mix(qf0hWhat is the magnitude of the resultant force? mqhxd/;0u fi(

  Two forces are acting on an object as shown in Fig. 3-1. 8qi8u vqirpj ve* w)06 What is the direction of the qq v jv u8ewi*)pi8r06resultant force?

Vector A is 5.5 cm long and points along t++hcuj tzn0t +he x axis. Vector B is 7.5 cm long and points at +30e to the ne0z t uct+hjn++gative 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 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 points 7zqg pcmzq3a8/bnz2v,:w t ssr:s2*nat $30^{\circ}$ 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 with7j 9,fov(/rte :x h1wpxkvr w7 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 clt7jr fwvo1k: p,/9v xh7(rewxiff to the bottom to be 4.3 s. What is the height of the cliff?

  A girl throws a rock horizontalftpqjn; )c;c .d95d h3z2qufzly, with a velocity of 10 m/s, from a bridge. It falls 20 m to the water below. How far does the rock u qc; dzhnc53fdq9;2zt jfp).travel horizontally before striking the water?

  A ball thrown horizontally from a point 24 m above the ground, strikev:dh1kq0 je xa448wids the ground after traveling horizontally a distance of w0id e qa:4j841vxk dh18 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a speed otq0lf ov4** clf 12 m/s at an angle q*o*lt 04l vcfof $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-j3fl*tzku njrh),t o7fuh;z :9ump goes into the jump with a speed of 12 m/s at an angle o l*h ,nuf)trj7:h3fu9oz t;kzf $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.0 m/s at an agc2(-- lwa3e8qvca3t k umo2l ngle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an ini(clva+mrn4 7 vtial velocity 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 of pa.q)r4qmm/ek.; d2u0k lbw d $30^{\circ}$ 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 horizontaw 2fnc0 zhz2m.lly at 23.4 m/s from the roof of a building 55.0 m zzc2 .mnwf2 0htall.
(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 withov1 mv7h gta); an initial speed of 55.6 m/s at an angle 1mt;haogv )7vof $41.2^{\circ}$ 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 raca 4g8bl)oix 6le at a velocity of 4.0 m/s. If you 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 yol84a ilbg6 x)ou to finish would be

  A plane has an air speed of 200 m/s due North, and is in a wind of 50.0 m/s to tw2v 2h ktsude()i1i5 8t9geothe West. The plane's speed relative to the groung2tvw(1)hdto2i 9tiu 58eek sd is

  A plane is flying due South ( eu-* - jt29vabix7fkx2a,ivw$270^{\circ}$) 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 120 km/h is yeqvub0b1;* yn0;bll 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 movit dypvbe-m 0m +bt+25c;vh5jrng 200 m/s horizontally fires a projectile with speed 50.0 m/s in a forwv;+tp -mhter +md25cvybjb 50 ard direction $30.0^{\circ}$ 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 directbmj/ pdeu5wz6n;7ml 0ed across a river with a c/ 0benp;m5um 7z6 jldwurrent of 6.0 m/s. What is the speed of the boat as it crosses the river?

  The driver of a motorboat that can move bugt2.vmtc*yl -. g e-at 10 m/s in still water wishes to travel ye m- g-lb.c2ttv.*gudirectly across a river 1.6 km wide in which the 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/6n/vk xsw ,hd 10 m/s in still water wishes to travel directly across a narrow str6s/hwnd ,x /kvait in which the current flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directlx43hv* f+o8dwz ie-+ ke+nxwx y across a river 200 m wide reaches the opposite bank in 6 min 40 s. She h8w4x*nvw+exdeo+ki x 3-zf + is swept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches the s6)oy58 p kfbpopposite bank in 6 min 40 s. Sh b)k6sfp8 op5ye is swept downstream 480 m. What is the speed of the current?

A boat, whose speed in still water is 1.75 m/s, must aim upstream at s lve-v3)tx;oan angle ofes v)lo;t x-v3 $26.3^{\circ}$ (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.