Ignoring air resistance, the horizontal component of a projg 9i -e2.tvw :5cmwbbbectile's velocity

  A ball is thrown with a velocity of 2k(8t i7qf9 4r vg f,hpvivwekomk2)680 m/s at an angle of $60^{\circ}$ above the horizontal. What is the horizontal component of its instantaneous velocity at the exact top of its trajectory?

  Ignoring air resistance, the h a b8reipz8o2/orizontal component of a projectile's accelerationipr2b /8eaz8 o

  A soccer ball is kicked with a velocity of 25 m/s at an anglkj l/zwke.2s8 e 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 directed anti-p9q+2a v(g rrunuxb/:*p;zd b:kmw p6warallel to the velocity vw xrnv*: (/kba296bur ;uw mgzd:qp+pector,

  If the acceleration of ajlbk .+bz1k e+n object is always directed perpendicular to its velocity,kzl1b+ jk+. be

  At what angle should a water-gun be aimed in order for the wiwb*fue)0j/, pd fm* bater to land with thee),*fudf/m i*j b0bpw greatest horizontal range?

  An Olympic athlete throws a javelin at four different angles above the horizonb*i g ;gxijf6q*y.+z yi/5b qbtal, each with the fqb+igizb q*bigj;5 / 6*xyy. 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 your ha/wkq syrr ruin9k wu3-9 0c-(qnd with twice th3qyr /sw9uki(w -rr u0-nqk9 ce velocity it had on your first throw, its horizontal range R (compared to your first serve) would be

  A ball is thrown at an original speed of 8gf8;fwvdg9.z0 (x 91kaip xfe.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 rea+dp0unc 9f u1aches its maximum height, how does its speed compare to its inipun+ ucfad1 90tial speed?

  A stone is thrown horizontally from the top of a tower at thbdf0/pmb7 uqu 4)ph2je same instant a ball is dropped vertically. Which object is t)4b27/pmdjb 0 hqupfuraveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a second bulle59lokb nc+ sia.hx p665xkov2t is dropped from the same height. Ignore air k kh oib6n 2x+po9axsv5 56.clresistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 99.1 m/s and at an elevation of 260 m wcb/8y g(tc b*eg,l9wdrops a package. 2.8 seconds later it drops a second package. How far g blytc/ b9*e,wc8 (wgapart will the two packages land on the ground?

  A package of supplies is dropped from a plane, and one second later a second ghx;67tjk * zypackage is dropped. Neglecting air resistag*kjyz6; x7t hnce, the distance between the falling packages will

  A pilot drops a bomb from a plane flying t802idb+i ofj73m6bp:hsdoyhorizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal location of the plane wit+2 6ysbi bio7mjd:p3df8o h0ll

  The acceleration of gravity on the Moon is only one-sixc6*,)wiv rumo th of that on Earth. If you hit a baseball on the Moon with the same ec)r6 moi*,wu vffort (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 relative to a strai,wp-3qhf w5ia ght, level road and pass a car traveling at 45 mi/h. The relative velocity of your car to p,wi3 -a5w hqfthe other car is

  You are trying to cross a river that flows due south with a strong cmd- e.wu.8.dh qh,um hurrent. You start out in your motorboat on the east bank desiring to reach the west bank directly west from your sta-hm.d md.queuhw8, h .rting point. You should head your motorboat

  Your motorboat can m 0ap2nu(vmgd4 ove at 30 km/h in still water. How much time will it take you to move 12 km p(d4un02mgav downstream, in a river flowing at 6.0 km/h?

  If a ball is thrown with a velocity of 25 m/s fpbm 60wa(t rf3 ,2;mlfo-iaiat an angle of $37^{\circ}$ above the horizontal, what is the vertical component of the velocity?

  A stone is thrown horizontally with an initial speed of 16 m/s from t) d v3kj.,irvv.v cw0phe edge of a cliff. A stop watch measures the stone's trajectory.3 d,0 cwjvk ivp).rvv time from the top of the cliff to the bottom to be 2.1 s. What is the height of the cliff?

  A girl throws a rock horizontally, with a velocity of 5 m/s, from a bridge. I5 qkocs 7zhz6.ud.8sm 3x 6ctqt falls 19 m to the water below. How far does the rock travetxz qks6hzc.3 m 8coqsu.5d76 l horizontally before striking the water?

  A ball thrown horizontally from a point 28 m aboves2ozatd :8 va1dypq3l9tq*i1 the ground, strikes the ground after traveling horizontally a q 1tlaqd*zpdya9it:2vo s 318 distance of 23 m. With what speed was it thrown?

  A jumper in the long-jump goes into the jump with a spee5kqp .0trkavu 8k)pn0l(jct n o:1t.hd of 12 m/s at an angle of8kthol0pua jt k:rq)0v (.15nktpn c. $20^{\circ}$ 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 ju;c- wa0d4t jac vn;nc d)s(yu8mp with a speed of 9 m/s at an angle of v8;c4ya0d d a- swc(t;)nucjn$15^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 35.6 m/s at*)ye p;torbwqo5 u (u+fp 2ytaz3: )ny an angle of $40.2^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an init;rz b.n.6i xd*.v wpysial velocity of 49.7 m/s at an angle of $13.3^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired at anpvbs ( ):l7yuq 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 17.0bhqt9s-d m+qhgtj(72 5c m8mh $m/s$ from the roof of a building 39.0 $m$ tall.
(a) Determine the time necessary for the projectile to reach the ground below.  (数值)  $s$
(b) Determine the distance from the base of the building that the projectile lands.  (数值)  $m$
(c) Determine the horizontal component of the velocity just before the projectile reaches the ground.  (数值)  $m/s$
(d) Determine the vertical component of the velocity just before the projectile reaches the ground.  (数值)  $m/s$

  A projectile is fired from ground level with an initial speed of 38.6 m/s at 4q 6tm 9l,ni48 mv+ldnw di0/slb uxt:an angle of +,w:4m9dn/u0s8xnlvbli4ilttd m 6q $40.7^{\circ}$ above the horizontal.
(a) Determine the time necessary for the projectile to reach its maximum height.  (数值)  $s$
(b) Determine the maximum height reached by the projectile.  (数值)  $m$
(c) Determine the horizontal and vertical components of the velocity vector at the maximum height. horizontal:  (数值)  $m/s$ vertical:  (数值)  $m/s$
(d) Determine the horizontal and vertical components of the acceleration vector at the maximum height. horizontal:  (数值)  $m/s^2$ vertical:  (数值)  $m/s^2$

  A fighter plane moving 200 m/s horizontaof*2 f0efpdmt;.w xz;, l-admlly fires a projectile with speed 50.0 m/s 02ad.pf t*m;xmof-w, fed z;lin a forward 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/sd 3 cld qyk+v72s6ts3ony2,qo, is directed across a river with a current of 6.0 m/s. What is the speed2, l7tsy 2 yd+no63cq vqksd3o of the boat as it crosses the river?

  The driver of a motorboat that c8f j389mq a8h(rp4bqcbde3a dan move at 16 m/s in still water wishes to travel directly across a river 1.8 km w fa da8qp3 c94qm38 br(jbeh8dide in which the current flows at 3.3 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 tz 7)x*p cc1qsoravel directly across a narr)p71*cszxo qcow strait in which the current flows at 5.0 m/s. At what angle upstream should the driver head the boat?

  A swimmer heading directly acrosh 3tmkrhn-o/ 3s a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480 m. Hown or/3m -hhk3t fast can she swim in still water?

  A swimmer heading directly across a river 200 m wide reaches the opposf/ku.a+w7gr*llno7 y-1 su o0r4wldeite bank in 6 min 40 s. She is swept downstream 480 m. What is the s.a ke f u7l4wu/w+yoso-l*1r7n0 rdlgpeed of the current?

  A boat, whose speed in still water is 2.17 m/s, must aim upsk ivbxe2sm(rr(qn,zwj9 99, btream at an angle of9rj, sb2q( vimn(ze x9bw9kr, $13.2^{\circ}$ (with respect to a line perpendicular to the shore) in order to travel directly across the stream.
(a) Determine the speed of the current.  (数值)  $m/s$
(b) Determine the resultant speed of the boat with respect to the shore  (数值)  $m/s$