Which one of the following is an example of a vector quantity?u rrrkfe3(uw6p x98c gkpv49 7

  Which of the following operations will not change a vector)bev5;q 6f:)hmy:j3-7o tkrwtoh t do?

  Which of the following is an accurate statemencg vzpxdb f)9;/nwvzcl+ttn 56qi yd9i/*-*s t?

  The resultant of two 1y w)muzj0gh7 /3, m* hygamzzvectors is the smallest when the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respec4 c6, o+1 4mg xg)mtglukdpwf);ve2ss tively. When these two vectors are added, the )k gmwsec4;4 m+f vlggs2)6,xopudt1magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which ong //htf*y f.zme of the following is a possible answer for the magnitude of the resulf yht//.gz*mf tant?

  Three forces, each having a magnitude of 30 N, pull on a , at1dhsscz ol94r9b9n object in directions that dh,4obrt1 9al9s zcs9 are $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vem)9 hjqmc2ix s 2fuarm4p2+1rctor is

  Ignoring air resistance, the horizontal component of a projectile's sh1) m6 yd2-tsjy9goovelocity

  A ball is thrown with a velocity of 20 m/s at an angle of 60e above f ocqf7gzap1;3wrdle)4w32t the horizontal. What is the horizontal component of its instantaneous velocity atf3)3o 4l rwpqdfce2zw1gat7; the exact top of its trajectory?

  Ignoring air resistance, the horizontal component of j cc61c 089mcpbiqi4da projectile's acceleration1cp mj460ci9ccid q8b

  A soccer ball is kicked with a velocity oavq8i,ai. oh-w/4swq ct j76mf 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 vectorntpae 6vct*l d- )- p(38qmxt2e2myaj of an object is directed anti-parallel to the velocity-atnx apy2lte2t6mq 8jcm d) e(v3-*p vector,

  If the acceleration of an object is always directed perpe:* jqb cdoigp9vt:, 6dndicular to its velocitq ,gbjit p6dv* :9cod:y,

  At what angle should a water-gun be aimed in order for the water to la :lnd(;pra-qwnd with the greatdnrl-a :;wq (pest horizontal range?

  An Olympic athlete throws a :0kjx ;0gwm xsjavelin at four different angles above the horizontal, each wit 0xsxmkgw0: ;jh 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 leaves yd :h+( iw p sseg.ybm+4h8 hg9 eqodz4a9sw/3sour hand with twice the velocity it had on your first throw, its horizontal range R (compared to your first serve) would qb/ maz9 hw39w+4o8hssde4s:g(p s+ideyh .g be

  A ball is thrown at anlvyo o)ck n*z k.k//c8 original speed of 8.0 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 does itsrrf7*fx3q lonc j/u1 6 speed compare tl*ofr1j 7qr 63nfucx/o its initial speed?

  A stone is thrown horizontally from the top of a tower at the same57-yu jz;a u ud3ssy3i instant a ball is dropped vertically. Which objectduaz7y- j3 i3ss;uu 5y is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a second bullet qpl 9b5d-pqgn90. )b-kthtugis dropped from the same height. Ignor- 0udbp np99qhbgkqtg 5l-. )te air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/s and at an elevatioya/0p2)pqwicz(xahn d(vcxcl n 130y v: o(2hn of 160 m drops a package. Two seconds later it drops a second package. How far apart will the oy3/n((c)cn axhx2p :za p( lw0ivvy0 2dchq1two packages land on the ground?

  A package of supplies is dropped from eq .t; cc3,htka plane, and one second later a second packag3qtchk e tc.,;e is dropped. Neglecting air resistance, the distance between the falling packages will

  A pilot drops a bomb from a plane flying horizontally at a constan)z qxpmlq*/x3 t speed. Neglecting air resistance, when the bomb hits the ground the horizontal xm/q p3qlxz)*location of the plane will

  The acceleration of gravity on the Moonht y82mw2ijp9z x 61bcvx 3+om is only one-sixth of that on Earth. If you hit a baseball on the Moon321mc+x xo2 mw v8yt 9ib6pzhj with the same effort (and at the speed and angle) that you would on Earth, the ball would land

  You are traveling at 55 mi/h in the +x axis relativtv.hot av//laadp;/gjs.i05e to a straight, level road and pass a car traveling at 45 mi/h. The relative velocity of your car to the other ca..aga0td ilh5t;a v /vjp/o/sr is

  You are trying to cross a river t81re7h dsywytjf2 qn47 g 9d(shat flows due south with a strong current. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your starting point. You shou 7wdnse 97fqh(g 8y2t14rjysdld head your motorboat

  Your motorboat can move atg l2a.(qk 0l5wruj /cj 30 km/h in still water. How much time will it take you to move 1w.l jl/50k c(rja2qgu 2 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle)2 gvv;d7gqsz,ysu0x of 30 degrees below the +x axis. The y compog,0 x2gz7) yussvq v;dnent of A is

  If a ball is thrown 7 o8fnfzg 8jwy40re2s3yya5pwith 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 line x;y2lsyx d9u.4to1b0 n s7k cj2fecg*in a direction north of east and you end up 2.0 km nortkg.y* dx7l0b; j9s 4u fey22oxctnsc 1h and several kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x compoul wmzt;n :n.s3vh1-j nent of its velocity is 8.00 m/s. The angle between the direction of its motion and the x a-wj3 lutmhn; .z v1:snxis must be

  A 400-m tall tower casts a 600-m long sh ob:9k*ehwcr+ adow over a level ground. At what angle is the Sun elevated above the horizo*bk: +rh9wceo n?

  Two vectors A and B have components (0, 1) and (-1, 3), respeci (a . bt0xd,0xvazbm)tively. What are the d).x 0bavmb ,atzi0x(components of the sum of these two vectors?

  Two vectors A and B have components (0, 1) and (-1, lx 3m7 dhb+kwr -.leu,xj;g 7u3), respectively. What is magnitude of the sum of these two vwlbj ukmg7, h xe7ul- rdx+;.3ectors?

  Vector A = (1, 3). Vector B = (3, 0) -hqc4(h*do nl. Vector C = A + B . What is the magnitude of C ohhnc4 q-*d(l?

  A car travels 20 km West, then 20 km South. What is the magnu a*xe4rxzq2/ a iox/3itude of its displacemen3 o*4ruxziea //2qaxx t?

  Three vectors, expressed in Cartesian coordinatecy6j)9b 8p yyfs, 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 Cartesia ).ue- wtqlh*2uktm1g b-- yxon 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 v 1wcaf;t+:fva ector B = (+3.0, -8.0), what is the magnitude of vector C a :;wftaf 1+vc= A - B ?

  A runner runs halfway around/yu) 4iuttg-6-sbq zt a circular path of radius 10 m. What is the displacemengt/s z4t-qtb-uiu y6)t of the jogger?

  Two forces are acting on an object as shown in Fif(+spu04l liyc3qz9elf70 k tg. 3-1. What is the magnitude of the res qtz0ly4(+ e0fcl lukp7if93s ultant force?

  Two forces are acting on an objecf3glm yf a0i12t as shown in Fig. 3-1. What is the direction offg m1f2yial0 3 the resultant force?

Vector A is 5.5 cm long and points along thh;lmolm 5tll 227md 4y o,8vxfe x axis. Vector B is 7.5 cm long and points at +30e to the neo;tml4oyl hx5m8 vldl72 2m,fgative 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 a;fcp4*saiqew. 5l,c bt $30^{\circ}$ 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 with an initia )*d7mrlg2se:ck;qja6z f)mcl speed of 10 m/s from the edge of a cliff. A stop watch measures the stone's traject )ldcsrcje6mfq;g)zm:*72 k a ory time from the top of the cliff to the bottom to be 4.3 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity oue tww k038xn/f 10 m/s, from a bridge. It falls 20 m to the water below. How far does the roctx/uen k308 wwk travel horizontally before striking the water?

  A ball thrown horizontally from y zk1q4*xbn ,ka point 24 m above the ground, strikes the ground a1bny k4xzq*,kfter traveling horizontally a distance of 18 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a speed of olz316sjg:o a 12 m/s at an angle of o1s loz a63g:j$20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jump goes into the jump with a speedpc( ln6(kshy ;20w zsu of 12 m/s at an angle zp(ykw h2ss ;6nl0(ucof $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.0 m/s a/3 bg(mncm gn,t an angle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with anrn;+,gr p , w(y,chbxn initial 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 at n+w4vv )f,9ndo8i okn angle of $30^{\circ}$ 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 buil+k xl.0oc8vq xw-0s gyding 55.0 m ta-vk0oxlyq8. x wg0s+ cll.
(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 sper-)3iuiml t-pm s1 .h plx+jfc7br8c9 ed of 55.6 m/s at an angle o)cl p9crm 37r1l+it8.mbj i --p xufhsf $41.2^{\circ}$ 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 150c:o4 ; zwjrib00-m race at a velocity of 4.0 m/s. If you ran the same race on a day when you had a constant hearcb zi;4o:wj0dwind 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, d p0z k bnkrz5v4.u9/-vjfp* ;(kxpczccdk(: and is in a wind of 50.0 m/s to the West. The plane's speed relative to the grou*c/dk -u05zppp( ;jfbnzc kkk9.4 rdvvzx:(c nd is

  A plane is flying due South (xedyk .z03 9xl$270^{\circ}$) 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 k*;md v)jv2qarkc/:t9ebj d, q-f4o ahm/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 horizq:mdd*xeh m /f9ns+1w ontally fires a projectile with speed 50.0 m/s in a forward directio:+sx1ndfh/ m ew*d9qmn $30.0^{\circ}$ 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 river pnm9 z)dyp3x2+odzb3 n/ve- r with a current of 6.0 m/s. W)3+2nzyz9-red xompvn b3 /dp hat is the speed of the boat as it crosses the river?

  The driver of a motorboat that can move at 10 m/s in 7 4*7iat8y c+;f6unzm g rvzlcstill water wishes to travel directly across a river 1.6 km wide in which the current floa+ ur;7i tz4fmc l vn*86z7ycgws 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 water wishes to mxw 7t2dytjy4u. o (+ytravel directly across a narrow strait in which the current flows atm.ydx 27t4y +(jywotu 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly across a river 200 m wivok;ej e0-)rkt wo nzd,0zv46de reaches the opposite bank in 6 min 40 s. She is swkn;4vtejw zv )dzreo6 ,0k0 o-ept downstream 480 m. How fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches the opposite bank b:hbisxb 9hrv,( / 9zsin 6 min 40 s. She is swept downstream 480 m. What is the speed of the cub z,sihs9 brvxb/h9 (:rrent?

A boat, whose speed in still water is 1.75 m/s, must aiw)igr6) v2cw jm upstream at an angle of )vcgrjwi2w)6 $26.3^{\circ}$ (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.