Problem 1FP: Initially, the car travels along a straight road with a speed of 35 m/s. If the brakes are applied... Problem 2FP: A ball is thrown vertically upward with a speed of 15 m/s. Determine the time of flight when it... Problem 3FP: A particle travels along a straight line with a velocity of v = ( 4t 3t2) m/s, where t is in... Problem 4FP: A particle travels along a straight line with a speed v = (0.5t3 8t) m/s, where t is in seconds.... Problem 5FP: The position of the particle is given by s = (2t2 8t + 6) m, where t is in seconds. Determine the... Problem 6FP: A particle travels along a straight line with an acceleration of a = (10 0.2s) m/s2, where s is... Problem 7FP: A particle moves along a straight line such that its acceleration is a = ( 4t2 2) m/s2 , where t is... Problem 8FP: A particle travels along a straight line with a velocity of v = (20 0.05s2) m/s, where s is in... Problem 1P: Starting from rest, a particle moving in a straight line has an acceleration of a= (2t 6) m/s2,... Problem 2P: If a particle has an initial velocity of v0 = 12 ft/s to the right, at s0 = 0, determine its... Problem 3P: A particle travels along a straight line with a velocity v = (12 3t2) m/s, where t is in seconds.... Problem 4P: A particle travels along a straight line with a constant acceleration. When s =4ft, v = 3ft/s and... Problem 5P Problem 6P Problem 7P Problem 8P: A particle is moving along a straight line such that its position is defined by s = (10t2 + 20) mm,... Problem 9P Problem 10P: A particle moves along a straight line with an acceleration of a = 5/(3s1/3 + s5/2) m/s2 , where s... Problem 11P: A particle travels along a straight-line path such that in 4 s it moves from an initial position SA... Problem 12P Problem 13P: Tests reveal that a normal driver takes about 0.75 s before he or she can react to a situation to... Problem 14P Problem 15P: A particle is moving with a velocity of v0 when s = 0 and t = 0. If it is subjected to a... Problem 16P: A particle is moving along a straight line with an initial velocity of 6 m/s when it is subjected to... Problem 17P: Car B is traveling a distanced ahead of car A. Both cars are traveling at 60 ft/s when the driver of... Problem 18P Problem 19P Problem 20P: The velocity of a particle traveling along a straight line is v = (3t2 6t) ft/s, where t is in... Problem 21P: A freight train travels at v = 60(1 et) ft/s, where t is the elapsed time in seconds. Determine the... Problem 22P Problem 23P: A particle is moving along a straight line such that its acceleration is defined as a= (2v) m/s2,... Problem 24P Problem 25P: If the effects of atmospheric resistance are accounted for, a freely falling body has an... Problem 26P Problem 27P: When a particle falls through the air, its initial acceleration a = g diminishes until it is zero,... Problem 28P Problem 29P Problem 30P: A sphere is fired downwards into a medium with an initial speed of 27 m/s. If it experiences a... Problem 31P Problem 32P Problem 33P Problem 34P Problem 9FP Problem 10FP Problem 11FP Problem 12FP Problem 13FP Problem 14FP Problem 35P: A freight train starts from rest and travels with a constant acceleration of 0.5ft/s2. After a time... Problem 36P Problem 37P Problem 38P Problem 39P Problem 40P: An airplane starts from rest, travels 5000 ft down a runway, and after uniform acceleration, takes... Problem 41P: The elevator starts from rest at the first floor of the building. It can accelerate at 5 ft/s2 and... Problem 42P Problem 43P: The motion of a jet plane just after landing on a runway is described by the a-t graph. Determine... Problem 44P Problem 45P: The vt graph for a particle moving through an electric field from one plate to another has the shape... Problem 46P: The a-s graph for a rocket moving along a straight track has been experimentally determined. If the... Problem 47P Problem 48P Problem 49P: The jet car is originally traveling at a velocity of 10 m/s when it is subjected to the acceleration... Problem 50P Problem 51P: The v-t graph for a train has been experimentally determined. From the data, construct the s-t and... Problem 52P: A motorcycle starts from rest at s = 0 and travels along a straight road with the speed shown by the... Problem 53P: A motorcycle starts from rest at s = 0 and travels along a straight road with the speed shown by the... Problem 54P: The v-t graph for the motion of a car as it moves along a straight road is shown. Draw the s-t and... Problem 55P: An airplane lands on the straight runway, originally traveling at 110 ft/s when s = 0. If it is... Problem 56P: Starting from rest at s = 0, a boat travels in a straight line with the acceleration shown by the as... Problem 57P: Starting from rest at s = 0, a boat travels in a straight line with the acceleration shown by the as... Problem 58P Problem 59P: The speed of a train during the first minute has been recorded as follows: t(s)0204060v(m/s)0162124... Problem 60P: A man riding upward in a freight elevator accidentally drops a package off the elevator when it is... Problem 61P: Two cars start from rest side by side and travel along a straight road. Car A accelerates at 4 m/s2... Problem 62P: If the position of a particle is defined as s = (5t 3t2) ft, where t is in seconds, construct the... Problem 63P Problem 64P Problem 65P: The jet plane starts from rest at s = 0 and is subjected to the acceleration shown. Determine the... Problem 66P Problem 67P Problem 68P Problem 15FP Problem 16FP Problem 17FP: A particle is constrained to travel along the path. If x = (4t4) m, where t is in seconds, determine... Problem 18FP Problem 19FP: A particle is traveling along the parabolic path y = 0.25x2. If x = 8 m, vx = 8 m/s, and ax = 4 m/s2... Problem 20FP Problem 21FP: The ball is kicked from point A with the initial velocity vA = 10 m/s. Determine the maximum height... Problem 22FP: The ball is kicked from point A with the initial velocity vA = 10 m/s. Determine the range R , and... Problem 23FP Problem 24FP Problem 25FP: A ball is thrown from A. If it is required to clear the wall at B, determine the minimum magnitude... Problem 26FP Problem 69P: If the velocity of a particle is defined as v(t) = {0.8t2i + 12t1/2j + 5k} m/s, determine the... Problem 70P: The velocity of a particle is v= {3i + (6 2t)j} m/s, where t is in seconds. If r = 0 when t = 0,... Problem 71P: A particle, originally at rest and located at point (3 ft, 2 ft, 5 ft) , is subjected to an... Problem 72P: The velocity of a particle is given by v ={16t2 i +4t3j + (5t + 2)k} m/s, where t is in seconds. If... Problem 73P: The water sprinkler, positioned at the base of a hill, releases a stream of water with a velocity of... Problem 74P Problem 75P Problem 76P: A particle travels along the curve from A to B in 5 s. It takes 8 s for it to go from B to C and... Problem 77P: The position of a crate sliding down a ramp is given by x = (0.25t2) m, y = (1.5t2) m, z = (6 ... Problem 78P: A rocket is fired from rest at x = 0 and travels along a parabolic trajectory described by y2 =... Problem 79P: The particle travels along the path defined by the parabola y = 0.5x2. If the component of velocity... Problem 80P: The motorcycle travels with constant speed v0 along the path that, for a short distance, takes the... Problem 81P: A particle travels along the curve from A to B in 1 s. If it takes 3 s for it to go from A to C,... Problem 82P: The roller coaster car travels down the helical path at constant speed such that the parametric... Problem 83P: Pegs A and B are restricted to move in the elliptical slots due to the motion or the slotted link.... Problem 84P: The van travels over the hill described by y = (1.5(103) x2 + 15) ft. If it has a constant speed of... Problem 85P: The flight path of the helicopter as it takes off from A is defined by the parametric equations x =... Problem 86P: Determine the minimum initial velocity v0 and the corresponding angle 0 at which the ball must be... Problem 87P: The catapult is used to launch a ball such that it strikes the wall of the building at the maximum... Problem 88P: Neglecting the size of the ball, determine the magnitude vA of the basketballs initial velocity and... Problem 89P: The girl at A can throw a ball at vA = 10 m/s. Calculate the maximum possible range R= Rmax and the... Problem 90P: Show that the girl at A can throw the ball to the boy at B by launching it at equal angles measured... Problem 91P: The ball at A is kicked with a speed vA, = 80ft/s and at an angle A = 30. Determine the point (x, y)... Problem 92P: The ball at A is kicked such that A = 30. If it strikes the ground at B having coordinates x = 15... Problem 93P: A golf ball is struck with a velocity of 80 ft/s as shown. Determine the distance d to where it will... Problem 94P: A golf ball is struck with a velocity of 80 ft/s as shown. Determine the speed at which it strikes... Problem 95P: The basketball passed through the hoop even through it barely cleared the hands of the player B who... Problem 96P: It is observed that the skier leaves the ramp A at an angle A = 25 with the horizontal. If he... Problem 97P: It is observed that the skier leaves the ramp A at an angle A = 25 with the horizontal. If he... Problem 98P: Determine the horizontal velocity vA of a tennis ball at A so that just clears the net at B. Also,... Problem 99P: The missile at A takes off from rest and rises vertically to B, where its fuel runs out in 8 s. If... Problem 100P: The projectile is launched with a velocity v0. Determine the range R, the maximum height h attained,... Problem 101P Problem 102P Problem 103P: If the dart is thrown with a speed of 10 m/s, determine the longest possible time when it strikes... Problem 104P Problem 105P Problem 106P Problem 107P Problem 108P Problem 109P: The catapult is used to launch a ball such that it strikes the wall of the building at the maximum... Problem 27FP Problem 28FP Problem 29FP Problem 30FP Problem 31FP Problem 32FP Problem 110P Problem 111P Problem 112P Problem 113P: The position of a particle is defined by r = {4(t sin t)i + (2t2 3)j} m, where t is in seconds and... Problem 114P: The automobile has a speed of 80 ft/s at point A and an acceleration having a magnitude of 10 ft/s2,... Problem 115P Problem 116P Problem 117P Problem 118P Problem 119P: The satellite S travels around the earth in a circular path with a constant speed of 20 Mm/h. If the... Problem 120P Problem 121P: The car passes point A with a speed of 25 m/s after which its speed is defined by v = (25 0.15s)... Problem 122P Problem 123P Problem 124P Problem 125P Problem 126P Problem 127P Problem 128P Problem 129P Problem 130P Problem 131P: A boat is traveling along a circular path having a radius of 20 m. Determine the magnitude of the... Problem 132P Problem 133P Problem 134P Problem 135P: When t = 0, the train has a speed of 8 m/s, which is increasing at 0.5 m/s2. Determine the magnitude... Problem 136P Problem 137P: The ball is ejected horizontally from the tube with a speed of 8 m/s. Find the equation of the path,... Problem 138P Problem 139P Problem 140P Problem 141P Problem 142P: The race car has an initial speed vA = 15 m/s at A. If it increases its speed along the circular... Problem 143P Problem 144P Problem 145P: Particles A and B are traveling counter-clockwise around a circular track at a constant speed of 8... Problem 146P Problem 147P Problem 148P Problem 149P Problem 150P: The train passes point A with a speed of 30 m/s and begins to decrease its speed at a constant rate... Problem 151P: The particle travels with a constant speed of 300 mm/s along the curve. Determine the particles... Problem 152P Problem 153P Problem 154P: If the speed of the crate at A is 15 ft/s, which is increasing at a rate v = 3 ft/s2, determine the... Problem 33FP: The car has a speed of 55 ft/s. Determine the angular velocity of the radial line OA at this... Problem 34FP: The platform is rotating about the vertical axis such that at any instant its angular position is =... Problem 35FP: Peg P is driven by the fork link OA along the curved path described by r=(2) ft. At the instant =/4... Problem 36FP Problem 37FP Problem 38FP Problem 155P Problem 156P Problem 157P Problem 158P: An airplane is flying in a straight line with a velocity of 200 mi/h and an acceleration of 3 mi/h2.... Problem 159P: The small washer is sliding down the cord OA. When it is at the midpoint, its speed is 28 m/s and... Problem 160P Problem 161P: If a particle moves along a path such that r = (2 cos t) ft and = (t/2) rad, where t is in seconds,... Problem 162P Problem 163P Problem 164P Problem 165P: The time rate of change of acceleration is referred to as the jerk, which is often used as a means... Problem 166P Problem 167P Problem 168P Problem 169P Problem 170P: A particle moves in the x y plane such that its position is defined by r = {2ti + 4t2j} ft, where t... Problem 171P: At the instant shown, the man is twirling a hose over his head with an angular velocity = 2 rad/s... Problem 172P: The rod OA rotates clockwise with a constant angular velocity of 6 rad/s. Two pin-connected slider... Problem 173P: Determine the magnitude of the acceleration of the slider blocks in Prob.12-172 when = 150. Problem 174P Problem 175P Problem 176P Problem 177P Problem 178P Problem 179P Problem 180P Problem 181P Problem 182P Problem 183P Problem 184P Problem 185P: The rod OA rotates counterclockwise with a constant angular velocity of = 5 rad/s. Two... Problem 186P: Determine the magnitude of the acceleration of the slider blocks in Prob.12-185 when = 120. Problem 187P Problem 188P Problem 189P Problem 190P Problem 191P Problem 192P Problem 193P Problem 194P Problem 39FP: Determine the velocity of block D if end A of the rope is pulled down with a speed of vA = 3 m/s. Problem 40FP Problem 41FP Problem 42FP Problem 43FP Problem 44FP Problem 195P: If the end of the cable at A is pulled down with a speed of 2 m/s, determine the speed at which... Problem 196P: The motor at C pulls in the cable with an acceleration aC = (3t2) m/s2, where t is in seconds. The... Problem 197P Problem 198P Problem 199P: Determine the displacement of the log if the truck al C pulls the cable 4 ft lo the right. Problem 200P: Determine the constant speed at which the cable at A must be drawn in by the motor in order to hoist... Problem 201P: Starting from rest, the cable can be wound onto the drum of the motor at a rate of vA = (3t2) m/s,... Problem 202P: If the end A of the cable is moving at vA = 3 m/s, determine the speed of block B. Problem 203P: Determine the time needed for the load at B to attain a speed of 10 m/s, starting from rest, if the... Problem 204P: The cable at A is being drawn toward the motor at vA= 8 m/s. Determine the velocity of the block. Problem 205P Problem 206P: Determine the speed of the block at B. Problem 207P Problem 208P Problem 209P Problem 210P Problem 211P: The roller at A is moving with a velocity of A = 4 m/s and has an acceleration of aA = 2 m/s2 when... Problem 212P Problem 213P Problem 214P: At the instant shown, the car at A is traveling at 10 m/s around the curve while increasing its... Problem 215P: The motor draws in the cord at B with an acceleration of aB = 2 m/s2. When sA = 1.5 m, vB = 6 m/s.... Problem 216P: If block B is moving down with a velocity vB and has an acceleration aB , determine the velocity and... Problem 217P Problem 45FP Problem 46FP Problem 47FP Problem 48FP Problem 218P: Two planes, A and B, are flying at the same altitude. If their velocities are vA = 500km/h and vB =... Problem 219P Problem 220P: The boat can travel with a speed of 16 km/h in still water. The point of destination is located... Problem 221P: Two boats leave the pier P at the same time and travel in the directions shown. If vA = 40ft/s and... Problem 222P Problem 223P Problem 224P: At the instant shown, car A has a speed of 20 km/h, which is being increased at the rate of 300... Problem 225P: Cars A and B are traveling around the circular race track. At the instant shown, A has a speed of... Problem 226P Problem 227P: At the instant shown, cars A and B are traveling at velocities of 40 m/s and 30m/s respectively. If... Problem 228P Problem 229P Problem 230P Problem 231P Problem 232P Problem 1RP Problem 2RP Problem 3RP Problem 4RP Problem 5RP Problem 6RP Problem 7RP Problem 8RP Problem 9RP Problem 10RP Problem 11RP format_list_bulleted
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