1. Physics

    At t=0 a particle starts from rest at x=0, y=0 and moves in the xy plane with an acceleration a=(4.0i+3.0j)m/s^2. Determine (a) the x and y components of velocity, (b) the speed of the particle, and (c) the position of the particle, all as a function of
  2. physics

    A 2.51 kg particle moves in the xy plane with a velocity of v = ( 4.98 , -3.58 ) m/s. Determine the angular momentum of the particle about the origin when its position vector is r = ( 1.73 , 1.15 ) m.
  3. math

    A particle is traveling along a one-dimensional path (such as a number line). The position of the particle is governed by the time function x(t) ƒ­ 3t 4 ƒ{16t3 ƒy18t 2 ƒy 2 , where t is in minutes and 0 „T t „T 5 . Answer the following questions.
  4. physics

    A force acting on a particle moving in the xy plane is given by Fx = (2yi +x^2j)N, where x and y are in meters. The particle moves from the origin to a final position having coordinates x=5.00m and y=5.00m, as in Fig. Calculate the work done by F along (a)
  5. physics

    The position vector r of a particle moving in the xy plane is r=2ti+2sin[(pi/4)t]j , with is in meters and t in seconds. (a) Calculate the x and y components of the particle's position at , and 4.0 s and sketch the particle's path in the plane for the
  6. AP CALC. AB

    1.The position of a particle moving on the line y = 2 is given by x(t)= 2t^3-13t^2+22t-5 where t is time in seconds. When is the particle at rest? a. t =0.268, 2.500, and 3.732 b. t = 0, 1.153, and 3.180 c. t = 1.153, 2.167 and 3.180 d. t = 2.167 e. t =
  7. physics

    1) A particle moves in the xy plane (see the from the origin to a point having coordinates x = 7m and y = 5m under the influence of a force given by F= 3yi^2 - 5xj. a) What is the work done on the particle by the force F if it moves along path 1? (ABD) J
  8. phys

    At t= 0, a particle starts from rest at x= 0, y= 0, and moves in the xy plane with an acceleration ->a = (4.0ihat+ 3.0jhat)m/s^2. Assume t is in seconds. Determine the position of the particle as a function of time t. Express your answer in terms of the
  9. Calc

    A particle moves along the x-axis in such a way that it's position in time t for t is greator or equal to 0 is given by x= 1/3t^3 - 3t^2 +8 A) show that at time t= 0 the particle is moving to the right. B) find all values of t for which the particle is
  10. Calc

    A particle moves along the x-axis in such a way that it's position in time t for t is greator or equal to 0 is given by x= 1/3t^3 - 3t^2 +8 A) show that at time t= 0 the particle is moving to the right. B) find all values of t for which the particle is
  11. physics

    A particle leaves the origin with an initial velocity = (2.35 m/s) and moves with constant acceleration = (-1.90 m/s2) + (2.60 m/s2)>. (a) How far does the particle move in the x direction before turning around? m (b) What is the particle's velocity at
  12. calculus

    A particle moves on the x-axis so that its velocity at any time t is given by v(t) = sin 2t. At t = 0, the particle is at the origin. a)For 0 ≤ t ≤ π, find all values of t for which the particle is moving to the left. b)Write an expression for the
  13. physics

    A force acting on a particle moving in the xy plane is given by Fx = (2yi +x^2j)N, where x and y are in meters. The particle moves from the origin to a final position having coordinates x=5.00m and y=5.00m, as in Fig. Calculate the work done by F along (a)
  14. calculus

    a particle moves along a number line measured in cm so that its position at time t sec is given by s=72/(t+2) +k, k is a constant and t>=0 seconds. (a) Find the instantaneous velocity of the particle at t=4 seconds (b) Find the acceleration of the particle
  15. physics

    A movig particle encounters an external electric field that decreases its kinetic energy from 9670 eV to 7540 eV as the particle moves from position A to position B. The electric potential at A is -66.0 V, and that at B is +16.0 V. Determine the charge of
  16. physics

    A moving particle encounters an external electric field that decreases its kinetic energy from 9530 eV to 7800 eV as the particle moves from position A to position B. The electric potential at A is -69.0 V, and that at B is +39.0 V. Determine the charge of
  17. physics

    A particle moves along the x axis. It is initially at the position 0.280 m, moving with velocity 0.080 m/s and acceleration -0.240 m/s2. Suppose it moves with constant acceleration for 3.10 s. (a) Find the position of the particle after this time. (b) Find
  18. Physics

    A particle moves along the x axis. It is initially at the position 0.350 m, moving with velocity 0.110 m/s and acceleration -0.380 m/s2. Suppose it moves with constant acceleration for 3.50 s. (a) Find the position of the particle after this time. (b) Find
  19. Physics

    A particle leaves the origin with a velocity of 7.2 m/s in the positive y direction and moves in the xy plane with a constant acceleration of (3.0 – 2.0 ˆi ˆj ) m/s2. At the instant the particle moves back across the x axis (y = 0), what is the value
  20. physics

    Our teacher want us to use integrate and use the dot method to solve for this question but I don't know how. Can any turor help me.A particle moves in the xy plane (see the figure below) from the origin to a point having coordinates x = 7m and y = 5m under
  21. Calculus

    a particle moves along the x-axis at a velocity of v(t)=1 sqrt(t), t>0. at time t=1 , its position is x=4. find the acceleration and position functions for the particle
  22. Physics

    A particle moves in the xy plane with constant acceleration. At time zero, the particle is at x = 6.0 m, y = 3.0 m, and has velocity v = 4.0 m/s + -1.0 m/s . The acceleration is given by the vector a = 4.0 m/s2 + 0 m/s2 . (a) Find the velocity vector at t
  23. Ap Calculus

    Please help. A particle moves in a stright line and its acceleration is given by a(t)=6t+4. its initial position is s(0)=9 and its position when t=1 is s(1)=6. find the velocity of the particle when t=2. A. v(2)=14 B. v(2)=7 C. v(2)=4 D. v(2)=9 E. v(2)=0
  24. Math

    a particle moves along x-axis so that its position at any t>=0 is given by x=arctant. What is the limiting position of the particle as t approaches infinity?
  25. math

    For 4.95 seconds , a particle moves in a straight line according to the position function: s(t) = e^t(5-t)-5 . a. when id the particle at rest ? when is particle moving forward ? b. Find the total distance traveled by the particle in intervals [0,1]
  26. math

    For 4.95 seconds , a particle moves in a straight line according to the position function: s(t) = e^t(5-t)-5 . a. when id the particle at rest ? when is particle moving forward ? b. Find the total distance traveled by the particle in intervals [0,1]
  27. Calculus

    How would I solve this: -A particle moves along a line so that, at time t, its position is s(t)=8 sin2t. a) For what values of t does the particle change direction? b) What is the particle's maximum velocity?
  28. Calculous

    A particle moves along the c-axis so that at time t its position is given by x(t)=t^2-6^t+9t+11 a)What is the velocity of the particle at t=0 b)During what time intervals is the particle moving to the left? c)What is the total distance traveled by the
  29. uniten

    3. At t = 0 , a particle leaves the origin with a velocity of 9.0 m/s in the positive y direction and moves in the xy plane with constant accelaration of ( 2.0i - 4.0j ) m/s2 . At the instant the x coordinate of the particle is 15 m , what is the speed of
  30. physics

    A particle (mass = 5.0 g, charge = 40 mC) moves in a region of space where the electric field is uniform and is given by Ex = -5.5 N/C, Ey = Ez = 0. If the position and velocity of the particle at t = 0 are given by x = y = z = 0 and vx = 50 m/s, vy = vz =
  31. Physics

    Cn u plz gv explaination 2 d solutions steps by steps briefly? Cz i really dnt understand hw 2 apply d formula wen i revise it nw. [g=10 ms^-2 ] Two particles P & Q, of masses 0.2 kg & m kg respectively, are attached to the ends of a light inextensible
  32. physics

    Please help. If you need the figure, let know how I can show you and I will do it. A particle moves in the xy plane (see the figure below) from the origin to a point having coordinates x = 7.00 m and y = 4.00 m under the influence of a force given by F =
  33. physics

    A moving particle encounters an external electric field that decreases its kinetic energy from 9100 eV to 6630 eV as the particle moves from position A to position B. The electric potential at A is -59.5 V, and the electric potential at B is +26.1 V.
  34. Dyanamics

    A particle of mass m moves in a x-y plane. the co-ordinates of the particle at any instant are given by x=acos(wt) & y=bsin(wt) where a,b,w are constsnt.Determine the angular momentum of the particle with .r.to the origin of the co-ordinate system
  35. physics

    A moving particle encounters an external electric field that decreases its kinetic energy from 10360 eV to 7680 eV as the particle moves from position A to position B. The electric potential at A is -52.5 V, and the electric potential at B is +29.7 V.
  36. physics

    A moving particle encounters an external electric field that decreases its kinetic energy from 9100 eV to 6630 eV as the particle moves from position A to position B. The electric potential at A is -59.5 V, and the electric potential at B is +26.1 V.
  37. Physics-can anyone check my work?

    A particle starts from the origin with velocity 2i m/s at t = 0 and moves in the xy plane with a varying acceleration given by 2 (sq root t) where is in meters per second squared and t is in seconds. (a) Determine the velocity of the particle as a function
  38. Physics

    A particle starts from the origin with velocity 2i m/s at t = 0 and moves in the xy plane with a varying acceleration given by 2 (sq root t) where is in meters per second squared and t is in seconds. (a) Determine the velocity of the particle as a function
  39. calc

    Given the position function, s of t equals negative t cubed divided by 3 plus 13 times t squared divided by 2 minus 30 times t, between t = 0 and t = 9, where s is given in feet and t is measured in seconds, find the interval in seconds where the particle
  40. physics

    a particle of mass m moves in a x-y plane. The coordinates of the particle at any instant are given by x = acos(wt) and y = bsin(wt). where a,b,w, are constant. Determine the angular momentum of the particle with respect to the origin of the coordinate
  41. math

    Which three options are true about motion in a straight line. A. A particle which moves at an increasing velocity has a constant acceleration. B. If two particles always have the same velocity as each other, their separation does not change. C. A particle
  42. Physics

    A particle of mass m moves in a x-y plane. the coordinates of the particle at any instant are given by x=acos(wt) y = bsin(wt). where a,b,w, are constants. determine angular momentum ofthe particle with respect to the origin of the coordinate system.
  43. calculus

    A particle moves on a line away from its initial position so that after t hours it is s = 6t^2 + 2t miles from its initial position. Find the average velocity of the particle over the interval [1, 4]. Include units in your answer.
  44. Quick calc question

    A particle moves on a line away from its initial position so that after t hours it is s = 4t^2 + t miles from its initial position. Find the average velocity of the particle over the interval [1, 4]. Include units in your answer.
  45. Calculus

    A particle, initially at rest, moves along the x-axis such that its acceleration at time t>0 is given by a(t)=cos(t). At the time t=0, its position is x=3. How do I find the position function for the particle? I tried integrating the equation but got
  46. math

    A particle moves on a line away from its initial position so that after t hours it is s = 6t2 + 2t miles from its initial position. Find the average velocity of the particle over the interval [1, 4]. Include units in your answer.
  47. Calculus

    A particle moves on a vertical line. Its position, s, in metres at t seconds is given by s(t) = t^3 - 9t^2 + 24t, t>0/ I found the velocity and acceleration functions. s'(t) = 3t^2 - 18t + 24 s''(t) = 6t-18 b) When is the particle moving up? down? c) Find
  48. Physics

    The position of a particle moves along the equation X = Vo/K (1 - e^(-KT)) Vo and K are constants a)determine the total distance that the particle moves b) Show that the aceleration is derived from the velocity c) Reason how it could take an infinite
  49. General Physics

    A force Fx acts on a particle. The force is related to the position of the particle by the formula Fx = (5.9 N/m3) x3. Find the work done by this force on the particle as the particle moves from x = 0.9 m to x = 22 m. Answer in units of J
  50. calculus

    Consider a particle moving along the x-axis where x(t) is the position of the particle at time t, x'(t) is its velocity, and x''(t) is its acceleration. A particle moves along the x-axis at a velocity of v(t) = 5/√t, t > 0. At time t = 1, its position is
  51. Calculus

    1) A particle is moving along the x-axis so that its position at t ≥ 0 is given by s(t) = (t)In(2t). Find the acceleration of the particle when the velocity is first zero. 2) The driver of a car traveling at 50 ft/sec suddenly applies the brakes. The
  52. Maths, dynamics

    A particle of mass 45 kg moves in a straight line such that the force (in Newtons) acting on it at time t (in seconds) is given by 225t^4-90 t^2-225. If at time t = 0 its velocity, v , is given by v ( 0 ) = 2, and its position x (in m) is given by x ( 0 )
  53. calculus

    5. A particle moves along the y – axis with velocity given by v(t)=tsine(t^2) for t>=0 . a. In which direction (up or down) is the particle moving at time t = 1.5? Why? b. Find the acceleration of the particle at time t= 1.5. Is the velocity of the
  54. maths

    A particle of mass 40 40kg moves in a straight line such that the force (in newtons) acting on it at time,t (in seconds) is given by, 160t^4-320t^2-360 at time t=0, v is given by v(0)=10, and its position x is given by x(0)=14. What is the position of the
  55. Calculus

    The Question: A particle moves along the X-axis so that at time t > or equal to 0 its position is given by x(t) = cos(√t). What is the velocity of the particle at the first instance the particle is at the origin? So far I was able to determine that the
  56. Calculus

    A particle moves along a curve so that its position at time t is given by the position vector . What is the particle's speed at time t = 1? I think it is 12.
  57. Mathematics

    a particle moves in a straight line such that its position x from a fixed point 0 at time 't' is given by x= 5 + 8sin2t + 6cos2t 1. Find the period and amplitude of the particle. 2. Find the greatest speed of the particle. Thanks
  58. D.E

    A particle moves on the x-axis with an acceleration, 246msta. Find the position and velocity of the particle at 3t, if the particle is at origin and has a velocity of 10ms when 0t by using either the method of undetermined
  59. maths

    Which three options are true about motion in a straight line. A. A particle which moves at an increasing velocity has a constant acceleration. B. If two particles always have the same velocity as each other, their separation does not change. C. A particle
  60. HS Calculus

    Having trouble with this questions. Please help. A particle moves on the x-axis so that its position at any time t (is greater than or equal to) 0 is given by x(t) = 2te^-t a) Find the acceleration of the particle at t=0 b)find the velocity of the particle
  61. Physics

    Each crate moves from position 1, to position 2 to position 3. All of the crates are identical. the coordinate values given are in meters. Rank A through F in order from least to greatest, on the basis of the displacement from the position 1. If any crates
  62. Physics

    a Particle in x-y plane with const acceleration of 1.5m/s sq. in the direction making an angle 37degree with x_axis. At t=0 the particle is at origin and its velocity is 8m/s along x axis.Find the velocity and the position of the particle at t=4sec.
  63. calculus

    A particle moves along a horizontal line such that its position s(t) = (t^2e^3t/3)for time t. Find when the particle is at rest.
  64. physics

    A particle moves along a straight line such that its position is defined by s = (t3 – 3 t2 + 2 ) m. Determine the velocity of the particle when t = 4 s.
  65. math

    A particle moves along the s-axis. Use the given information to find the position of the particle. v(t)=8t3 ; s(0) = 5.
  66. Calc - Please help

    A particle moves along the s-axis. Use the given information to find the position of the particle. v(t) = 8t3; s(0) = 5.
  67. maths urgent please

    a particle moves in a straight line such that its position x from a fixed point 0 at time 't' is given by x= 5 + 8sin2t + 6cos2t 1. Find the period and amplitude of the particle. 2. Find the greatest speed of the particle. Could you please explain the
  68. CALCULUS BC

    a particle moves on the x-axis in such a way that its position at time t is given by x(t)=3t^5-25^3+60t. for what values of t is the particle moving to the left. a.-2
  69. Calculus

    A particle moves along a line so that at any time t its position is given by x(t)=2(pi)t+cos(2(pi)t). Determine the particle's maximum velocity.
  70. AP CALC. AB

    A particle moves along a line so that at time t, where 0
  71. foundation of mechanics

    A particle is released from rest at a point P on an inclined plane. The inclination of the plane is tan"1 (4/3) to the horizontal. If the coefficient of friction between the particle and the plane is 1/3, find i) the speed of the particle when it passes Q,
  72. Calculus

    A particle moves along the x-axis and its position for time t is greater than or equal to 0, is s (t)=cos(2t)+sec(t). When t=pi, the acceleration of the particle is
  73. physics

    The position of a particle as it moves along the x axis is given by x = 15eƒ{2t m, where t is in s. What is the acceleration of the particle at t = 1.0 s? 4.
  74. Calculus

    A particle moves along the x-axis with the velocity given by v(t)=3t/(1+t^2) for t >or equal to 0. When t=0, the particle is at the point (4,0). 1. Determine the maximum velocity for the particle. Justify your answer. 2. Determine the position of the
  75. Diff eqn- IVP

    A particle moves on the x-axis with an acceleration, a=(6t-4)ms⁻1. Find the position and velocity of the particle at t=3 , if the particle is at origin and has a velocity of when t=0
  76. differential equation or physics

    A particle moves on the x-axis with an acceleration, a=(6t-4)m/s2. Find the position and velocity of the particle at t=3 , if the particle is at origin and has a velocity of 10 m/s ms when t=0.
  77. calculous

    A particle moves on the x –axis so that its position at any time is given by x(t) = 2t3 + 1. a. Find the acceleration of the particle at t = 0. b. Find the velocity of the particle when its acceleration is 0. c. Find the total distance traveled by the
  78. AP Calculous

    A particle moves on the x –axis so that its position at any time is given by x(t) = 2t3 + 1. a. Find the acceleration of the particle at t = 0. b. Find the velocity of the particle when its acceleration is 0. c. Find the total distance traveled by the
  79. physcis ! HELP !!!!

    which of collowing situations describe a particle that might have a non-zero velocity? canbe more than one A) a particle that has a constant position as a function of time B) a particle that has its position changing as a fnction of time c)when you graph
  80. physics

    which of collowing situations describe a particle that might have a non-zero velocity? canbe more than one A) a particle that has a constant position as a function of time B) a particle that has its position changing as a fnction of time c)when you graph
  81. Physics

    The vector position of a 3.00 g particle moving in the xy plane varies in time according to the following equation. r1 = At the same time, the vector position of a 5.85 g particle varies according to the following equation. r2 = For each equation, t is in
  82. Calculus (Answer Check)

    A particle moves along the x-axis so that its velocity at time t, 0(less than or equal)t(greater or equal to)5 is given by v(t)=3(t-1)(t-3). at time t=2 the position of the particle is x(2)=0. 1. find the minimum acceleration of the particle 2. find the
  83. Calculus (Answer Check)

    A particle moves along the x-axis so that its velocity at time t, 0(less than or equal)t(greater or equal to)5 is given by v(t)=3(t-1)(t-3). at time t=2 the position of the particle is x(2)=0. 1. find the minimum acceleration of the particle 2. find the
  84. physics

    At t= 0, a particle starts from rest at x= 0, y= 0, and moves in the xy plane with an acceleration ->a (vector) = (4.0ihat+ 3.0jhat)m/s^2. Assume t is in seconds. Determine the x component of velocity as a function of time t. Determine the y component of
  85. Calculus

    A particle moves on a line away from its initial position so that after t hours it is s = 6t2 + 2t miles from its initial position. Find the average velocity of the particle over the interval [1, 4]. Include units in your answer. I started by taking the
  86. Physics

    F=6kt This force acts on a particle of mass "m" that moves along a line. If the particle starts from rest, determine its velocity and position at time t.
  87. Physics

    A particle starts from xi = 10 m at t0 = 0 and moves with the velocity graph shown in the graph below. Sorry for no graph it's at 12 m/s when time is zero. Moves down consistently so that it is 8 at 1 4 at 2 0 at 3 and negative 2 at 4. (a) What is the
  88. mechanics and heat

    The position vector of a particle of mass m = 2kg in the xy plane is given: r = (t-2)i + (2t +1)j (meter) where t is in seconds . Find the torque exerted on the particle about the origin.
  89. math

    Which three options are true about motion in a straight line. A. A particle which moves at an increasing velocity has a constant acceleration. B. If two particles always have the same velocity as each other, their separation does not change. C. A particle
  90. Calc3

    A particle initially at the origin travels in uniform motion with velocity v=2i-j-2k. Find position venctor vector r(t) of a particle at time t. Find equatio for the plane passing through the origin and perp. to the tragectory of the particle. And find
  91. Maths

    A particle moves on a line away from its initial position so that after t hours it is s=3t^2+t miles from its original position.
  92. Calculus

    A particle starts at the point (5,0) at t=0 and moves along the x-axis in such a way that at time t>0 its velocity v(t) is given by v(t)= t/(1+t^2). a). Determine the maximum velocity of the particle. Justify your answer. b). Determine the position of the
  93. calculus

    4. A particle starts at the point (5, 0) at t = 0 and moves along the x-axis in such a way that at time t > 0 the velocity is given by v(t)=t/(1+t^2) a. Determine the maximum velocity attained by the particle. Justify your answer. b. Determine the position
  94. Physics 2

    A particle moves along a line where the potential energy of its system depends on its position r as graphed in Figure P8.46. In the limit as r increases without bound, U(r) approaches +1 J. (a) Identify each equilibrium position for this particle. Indicate
  95. physics

    A particle moves in the xy-plane, starting from the origin at t = 0 with an initial velocity v0 = (20ˆi – 15ˆj) m/s and a constant acceleration of a = 4.0ˆi m/s2. Determine the particle’s speed and direction at t = 5.0 s.
  96. physics

    A particle moves along the x-axis from an initial position xi to a final position xf. Of the following values of xi and xf, which results in a negative displacement? (a) xi = 6 m, xf = 4 m (b) xi = ?4 m, xf = ?2 m (c) xi = ?4 m, xf = 2 m (d) xi = 4 m, xf =
  97. Calculus

    a particle starts at time t = 0 and moves along the x axis so that its position at any time t>= 0 is given by x(t) = ((t-1)^3)(2t-3) a.find the velocity of the particle at any time t>= 0 b. for what values of t is the velocity of the particle negative? c.
  98. Physics

    A particle moves along the x axis. Its position is given by the equation x = 2.00 + 3.20t - 3.85 t2 with x in meters and t in seconds. Determine its position at the instant it changes direction. (in m)
  99. calc

    If a particle moves in the xy-plane so that at time t>0 its position vector is (e^(t²), e^(-t³)), then its velocity vector at time t=3 is...? Thanks so much!
  100. physics

    The velocity-versus-time graph is shown for a particle moving along the x-axis. Its initial position is x0 = 1.8m at t0 =0s. Part A What is the particle's position at t=1.0s? Part B What is the particle's acceleration at t= 1.0s? Part C What is the