An object moves across a straight line so that after t seconds, is distance from its starting point is: D(t)=t^3 - 12t^2 + 100t + 12 meters. Find the acceleration of the object after 3 seconds. I believe acceleration is

55,423 results
  1. phys science

    1. speed is the ratio of the distance an object moves to a. the amount of time needed to travel the distance** b. the direction the object moves c. the displacement of an object d. the motion of the object 2. a car traveled 60 km in 2 hours, 84 km in the

  2. Precalculus

    An object is attached to a coiled spring. The object is pulled down​ (negative direction from the rest​ position) 88 ​centimeters, and then released. Write an equation for the distance d of the object from its rest​ position, after t seconds if the

  3. Calculus

    Suppose a certain object moves in a straight line with velocity v(t)= -2+t+3sin(pi t) where v is in meters per second and t is in seconds. Determine the net change in distance of the object from time t=0 to time t=6 seconds and find the object's average

  4. math(mechanics)

    the acceleration of a particle as it moves along a straight line is given by a=(2t-1)m/s^2, where t is in seconds.if s=1m and v= 2m/s when t=0,determine the particles velocity and position when t=6s. Also, determine the total distance the particle travels

  5. earth

    1) On a horizontal straight line graph of distance (vertical axis) against time, which variable is not changing? a) Distance b) Time c) Wind speed d) Temperature 2) A graph of distance against time is a straight line with a slope of 1. If you wait for 3

  6. physics

    an object with a eight of 19.6N moves with a constant velocity of 20.0m/s. A net Force of 6.00 N is applied to the object in the direction of its motion for 4.00 seconds. What is the final momentum of the object?

  7. Science

    Study the scenario. An object is at rest. At five seconds, someone comes over and pushes the object with a force of 3 N to the right. Which of the following choices describes the force needed to keep the object in static equilibrium? a. A force of 3 N to

  8. Calculus(math)

    A particle is moving on a straight line in such a way that its velocity v is given by v(t)=2t+1 for 0≤t≤5 where t is measured in seconds and v in meters per second. What is the total distance traveled (in meters) by the particle between times t=0

  9. physics

    An object moves along a straight line and the velocity as a function of time is presented by the above graph. a. Find the acceleration of the object for the time intervals: 0-5 s, 5 s- 10 s, 10 s-15 s, 15 s – 20 s, 20 s – 25 s, and 25 s – 30 s. b.

  10. mathematics

    An object moves around x^2 + y^2 = 25 (which represents a circle whose radius is 5 meters) at a constant speed. At time t = 0 seconds, the object is at (5, 0). When t = 1, it is at (4, 3). Where is the object when t = 2? when t = 3? when t = n? What is the

  11. calculus

    A variable force of 7x−2 pounds moves an object along a straight line when it is x feet from the origin. Calculate the work done in moving the object from x = 1 ft to x = 19 ft. (Round your answer to two decimal places.)

  12. calculus

    A particle moves along a straight line with equation of motion s = f(t), where s is measured in meters and t in seconds. Find the velocity and speed when t = 9. f(t) = t ^-1 - t

  13. Algebra

    the approximate distance, S, in feet that an object falls in t seconds when dropped from a height can be found by using the formula S=16t^2. How long will the object have fallen in 8 seconds?

  14. Physics

    When an object is moving in a circle, but it is not held to the center by a tangible connection like a string, what provides the centripetal force? 1) some force such as friction or gravity. 2) the tendency for the object to move in a straight line. 3)

  15. 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]

  16. physics

    two objects are thrown from the top edge of a cliff with a speed of 10 m/s. one object is thrown straight down and the other straight up. if the first object hits the ground in 4.0 second, the second hits the ground in ________ seconds after the first

  17. Math

    A car moves along a straight road in such a way that its velocity (in feet per second) at any time t (in seconds) is given by v(x) = 3x sqrt(9-x^2) on an interval of 0,3. Find the distance traveled by the car in 3 seconds.

  18. algebra

    An object that is projected straight downward with initial velocity v feet per second travels a distance s vt 16t 2 =+ , where t =time in seconds. If Ramón is standing on a balcony 84 feet above the ground and throws a penny straight down with an initial

  19. add math

    a particle moves in a straight line so that t seconds after passing a fixed point O its acceleration a cm per second is given by a=4t-16. It passes O with a velocity of 30cm per second. Find an expression for the velocity of the psrticle in terms of t and

  20. calculus

    A particle moves in a straight line with velocity given by v(t) =sin t metres per second. Find the total distance travelled by the particle in the first 4 seconds of motion

  21. science

    A Graph Shows Distance On The Vertical Axis And Time On The Horitzonal Axis. If The Speed Is Steadily Increasing. What Will The Line Representing Speed Look Like On The Graph? (I believe the answer is A) A. It will be a straight diagonal line b. It will be

  22. precalc

    An object is attached to a coiled spring. The object is pulled down (from its rest position) and then released. Given that the distance from its rest position at time t = 0 is 3 inches, its amplitude is 3 inches, and its period is 1.5 seconds, write an

  23. math

    A particle moves on a straight line. The velocity after t seconds is given by V= 3t^2 – 6t – 8. The distance of the particle from the origin after one second is 1o meters. Calculate the distance of the particle from the origin after 2 seconds.

  24. 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]

  25. Calculus

    An object is moving in a straight line according to s(t) = -t^2+4t-3 where s(t) = distance the object goes in miles at. t=times in hours a. How far did the object go in 2 hours? b. How fast was the object in 3 hours?

  26. Math

    A particle moves along a straight line with a velocity, v ms/s, given by v = 4 - 8 sin 2t where t is the time in seconds after passing a fixed point O. 1. Determine the range of values of v.

  27. physics

    a cyclist moves along a straight path 3 m during the first second, 6 m during the next 2 seconds and 9 m during the next 3 seconds. describe the motion of the cycist

  28. physics

    An object is moving along a straight line. The graph shows the object's velocity as a function of time. . What is the acceleration of the object in the interval from t = 5 s to t = 6 s?

  29. additional maths (maths)

    A spot of light is made to travel across a computer screen in a straight line so that, a t seconds after starting, it's distance from the left hand edge (d cm) is given by the function d(t) =7t - t² +2. Find the furthest distance the spot light travels

  30. Algebra

    The distance traveled by an object moving in a straight line is given by s = t2 − 2t, where s is in feet and t is the time in seconds the object has been in motion. How long (to the nearest tenth) will it take the object to move 48 feet?

  31. Algebra

    HELP! an object moves in a straight line given by s=2x^2-3t where s is in meters and t is the time in seconds the object is in motion. how long to nearest tenth will it take to move 17 meters? my attempt s=2t^2-3t 17=2t^2-3t -17=-17 0=2t^2-3x-17 t=-b +or-

  32. math

    A body moves in a straight line so that its distance 'x' from a fixed point after 't' seconds is given by the formula x=9t^2÷2-t^3÷2 find: a; its velocity after 2 seconds b; its velocity when the acceleration is 0???

  33. math

    the position of an object moving in a straight line is given by s=tsquared-8t, where s is in feet and t is the time in seconds the object has been in motion. how long(to the nearest tenth)will it take the object to move 10 feet?

  34. Physics

    A particle moves in a straight line so that its position (x cm) from a fixed point O at time (t seconds) is given by x= t^3-6t^2-15t-5 Find the average speed of the particle in the first 7 seconds

  35. physics

    An object moves along a straight line and has a constant acceleration of 1.25 cm/s2. At t = 4.38 s, its velocity is -3.8 cm/s. Express your answers in cm/s. What was the object’s velocity at t = 1.37 s?

  36. Physics- Equilibrium

    Which of the following is in equilibrium? a. an object that was thrown straight upward at the moment it has zero velocity (my answer) b. an object moving in a circle at constant speed c. an object that moves at constant velocity d. an object that moves at

  37. physics

    When an object is moving in a circle, but it is not held to the center by a tangible connection like a string, what provides the centripetal force? 1) some force such as friction or gravity. 2) the tendency for the object to move in a straight line. 3)

  38. algebra

    5. 16t2 gives the distance in feet a free-falling object falls in t seconds. 16t2 + 10t gives the distance an object falls in t seconds when it is thrown down with an initial velocity of 10 feet per second. Use this polynomials to: a. Find how far a wallet

  39. physics

    A 9.3 kg firework is launched straight up and at its maximum height 45 m it explodes into three parts. Part A (0.5 kg) moves straight down and lands 0.29 seconds after the explosion. Part B (1 kg) moves horizontally to the right and lands 10 meters from

  40. physics

    A particle moves in a straight line with an acceleration a ms^-2 at time 't' seconds where a = - 1/t² when t=1 the particle has a velocity of 3ms^-1 then find the velocity when t=4

  41. Math-acceleration

    An object moves across a straight line so that after t seconds, is distance from its starting point is: D(t)=t^3 - 12t^2 + 100t + 12 meters. Find the acceleration of the object after 3 seconds. I believe acceleration is calculated by taking the second

  42. Calculus

    An object is moving in a straight line according to s(t)= -t^2+10t+30 where s(t) is how far the object goes in miles in t time in hours. a. What is the constant acceleration of the object? b. What is the farthest distance the object travelled from the

  43. physics

    An object moves in a straight line at a constant speed. Is it true that here must be no forces of any kind acting on this object? Explain.

  44. Algebra

    Can someone help me? Do I subtract 17 on both sides and then............ The position of an object moving in a straight line is given by s=2t^2-3t, where s is in meters and t is the time in seconds the object has been in motion. How long (nearest tenth)

  45. science/ velocity

    a body moves along a straight line,its distance from the origin at any instant being given by the equation x= 8t -3t squared, where x is in centimeter and t is in seconds. find the average velocity of the body in the interval from t=0 to t=1 sec,and in the

  46. Calculus

    **I have the answers for 1a and 1b but I am stuck on 2a. and 2b.** An object is moving in a straight line according to s(t) = -t^2+4t-3 where s(t) = distance the object goes in miles at. t=times in hours a. How far did the object go in 2 hours? Answer =4

  47. Calculus

    An object moves in a straight line. Its velocity, in m/s, at time t is v(t)=4t^2/(1+t^2),t≥0. Determine the maximum and minimum velocities on the interval 1≤x≤4.

  48. Physic please help!

    I am not thinking straight anymore and this is due by 9:00pm. My brain feels a little fried at this point. I have been at it all day. Can someone please help me! (a) An object is placed in front of a convex mirror. Draw a convex mirror (radius of curvature

  49. algebra

    An object that is projected straight downward with initial velocity v feet per second travels a distance s vt 16t 2 =+ , where t =time in seconds. If Ramón is standing on a balcony 84 feet above the ground and throws a penny straight down with an initial

  50. Math

    A particle moves along a straight line with a velocity, v m s-1, given by v =4-8sin2t, where t is the time in seconds after passing a fixed point O. Determine the range of values of v

  51. physics

    Fiber Optic Distances When light rays travel down optical fibers, they don't follow a perfectly straight path. That means the light has to cover a little extra distance compared to the straight-line distance from one end of the fiber to the other. Suppose

  52. Physics

    You lean over the edge of a building that is 106 meters above the ground and throw an object straight upwards. This object takes 3 seconds to reach its maximum vertical displacement above your hand and then falls to the ground. From the moment it leaves

  53. math

    The head of an industrial machine moves in a straight line horizontally backwards and forwards from a central position. The movement can be modelled using the sine wave d = 80 sin ( pie t), where d is the horizontal distance (in cm) from the central

  54. maths

    The head of an industrial machine moves in a straight line horizontally backwards and forwards from a central position. The movement can be modelled using the sine wave d = 80 sin ( pie t), where d is the horizontal distance (in cm) from the central

  55. math

    using this information: if an object is thrown straight up into the air from the height H feet per second then at time tseconds the height of the object is -16.1t^2 +Vt+ H feet. This formula uses only gravitational force, ignoring air friction. It is valid

  56. math. can someone explain this!

    using this information: if an object is thrown straight up into the air from the height H feet per second then at time tseconds the height of the object is -16.1t^2 +Vt+ H feet. This formula uses only gravitational force, ignoring air friction. It is valid

  57. Calculus

    1.If a body moves in a straight line according to the law s= 24t +3t^2 - t³, where s is the distance measured in meters from the origin and t is the time in seconds after it starts to move, calculate the body’s velocity as a function of time. a.v = 30t

  58. kinematics

    these are two similar kinematics maths question which i don't know. Please help! 1)A particle moves in a straight line so that its distance, s metres, from a fixed point O is given by s = 2t^3 - 3t^2 - 12t + 6, where t is the time in seconds after passing

  59. Physical Science [repost]

    I had a couple of questions for homework and I answered them the best I could. Can someone check and tell me if they are correct? 1.To describe the position of an object accurately, scientists use what? Ans- Coordinate Systems 2.In science, we have to

  60. Physical Science

    I had a couple of questions for homework and I answered them the best I could. Can someone check and tell me if they are correct? 1.To describe the position of an object accurately, scientists use what? Ans- Coordinate Systems 2.In science, we have to

  61. Physical Science

    I had a couple of questions for homework and I answered them the best I could. Can someone check and tell me if they are correct? 1.To describe the position of an object accurately, scientists use what? Ans- Coordinate Systems 2.In science, we have to

  62. Calculus-derivatives

    Explain how to do these questions~ 1. An object moves in a straight line with its position at time t seconds given by s(t) = 3-2t+t^2, where s is the measured in metres. At what time is the object not moving? 2. Determine the coordinates of the point(s) on

  63. Maths

    a particle starts from rest at o and moves in a straight line so that t seconds after, its velocity vm/s is given by v=2t-t^2. given that particle comes instantanuously at rest at p. Find i) time taken to reach p? ii) the acceleration at p? iii) distance

  64. Calc

    An object moves along a straight path. Its position, S, in meters, at t seconds, is given by s(t)= 2t^2-t/t-1. Determine the average rate of change of the object after 3s/ 1. 29/16 m/s 2. 5/16 m/s 3. 5/4 m/s 4. 29/4 m/s

  65. College Math

    Another question which is confusing. The position of an object moving in a straight line is give by s=2t^2-3t, where is s in metres and t is the time in seconds the object has been in motion.. how long will it is take the object to move 6 meters? I first

  66. physics

    A 9.3 kg firework is launched straight up and at its maximum height 45 m it explodes into three parts. Part A (0.5 kg) moves straight down and lands 0.29 seconds after the explosion. Part B (1 kg) moves horizontally to the right and lands 10 meters from

  67. Math

    Romeo and Juliet are moving in the xy-plane. Juliet starts at the point (0,20( and moves in a straight line at a constant speed. She will pass through the origin in exactly 5 seconds. Romeo starts at the same time from the point (30,0) and moves in a

  68. physics

    A 110 kg object moves in a horizontal straight line with an initial speed of 54 m/s. If it is stopped along that line with a deceleration of 1.90 m/s2 what magnitude of force is required?

  69. physics

    A 110 kg object moves in a horizontal straight line with an initial speed of 54 m/s. If it is stopped along that line with a deceleration of 1.90 m/s2 what magnitude of force is required?

  70. calculus

    a particle starts from rest and moves along a straight line with an acceleration equal to 24-15√t where distance and time are measured in terms of feet and seconds respectively. with what acceleration will the particle return to the starting point?

  71. calculus

    a particle starts from rest and moves along a straight line with an acceleration equal to 24-15√t where distance and time are measured in terms of feet and seconds respectively. with what acceleration will the particle return to the starting point?

  72. calculus

    a particle starts from rest and moves along a straight line with an acceleration equal to 24-15√t where distance and time are measured in terms of feet and seconds respectively. with what acceleration will the particle return to the starting point? help

  73. Ap Physics

    a 70 kg object sits without sliding on a horizontal platform that rotates at a constant rate of one revolution every 6 seconds about a fixed vertical axis. The object moves on a circle of radius r=2m. If meu is now .4 what is the max distance from the

  74. Astronomy

    Now imagine you’re an astronomer on Earth looking at the spectrum of an object in space. In the spectrum you are looking for the so-called Lyman- alpha line of hydrogen which occurs at a wavelength of  = 122 nm. In your telescope, you observe the Lyman-

  75. calculus

    A particle that moves along a straight line has velocity v(t)=(t^2)e^(-2t) meters per second after t seconds.? How many meters will it travel during the first "t" seconds?

  76. math

    The position of an object moving in a straight line is given by the function , where s(t) represents distance traveled and t represents the time the object has been in motion. How long (to the nearest tenth) will it take the object to move 17 meters?

  77. Calculus

    A particle moves along a line so that its posistion at any t is greater than or equal to 0 is given by the function s(t)= t^3-8t+1, where s is measured in feet and t is measured in seconds. a) find the displacement during the first three seconds b) Find

  78. math

    ) An object is moving on a straight line which is 15 centimeters away from the center of a circle of radius 28 centimeters. (Both the circle and the straight line are on the same plane.) A source of light is located on the line drawn from the center of the

  79. Physics

    An object moves in a circular path at 861 rpm. If the radius of its circular path is 9.27 meters, calculate a) the distance traveled in one complete revolution d = m b) the time it takes for one complete revolution T = seconds c) the linear speed of the

  80. physics

    an object travels in a straight line at a constant acceleration for 6 seconds.in the first 2 seconds it travels 18 metres and in entire 6 seconds it covers 102 metres. find the acceleration.

  81. physics

    A 9.3 kg firework is launched straight up and at its maximum height 45 m it explodes into three parts. Part A (0.5 kg) moves straight down and lands 0.29 seconds after the explosion. Part B (1 kg) moves horizontally to the right and lands 10 meters from

  82. maths

    The head of an industrial machine moves in a straight line horizontally backwards and forwards from a central position. The movement can be modelled using the sine wave d = 80 sin ( pie t), where d is the horizontal distance (in cm) from the central

  83. maths

    The head of an industrial machine moves in a straight line horizontally backwards and forwards from a central position. The movement can be modelled using the sine wave d = 80 sin(pie t), where d is the horizontal distance (in cm) from the central starting

  84. maths

    The head of an industrial machine moves in a straight line horizontally backwards and forwards from a central position. The movement can be modelled using the sine wave d = 80 sin ( pie t), where d is the horizontal distance (in cm) from the central

  85. maths

    would it be number 6? The head of an industrial machine moves in a straight line horizontally backwards and forwards from a central position. The movement can be modelled using the sine wave d = 80 sin ( pie t), where d is the horizontal distance (in cm)

  86. physics

    A body moves along a straight line from rest with an acceleration of 2m/s². Calculate the time taken by it to cover a distance of 100m.

  87. math

    A constant force -6i-2j-1k moves an object along a straight line from point (8, -6, -9) to point (-5, 3, 3). how do you find the work done

  88. calculus

    A constant force of 60,30− pounds moves an object in a straight line from the point )0,0( to the point)10,10(−. Compute the work done.

  89. physics

    a particle with velocity of 2m/s at t= 0 moves along a straight line with constant acceleration of 0.2m/s2. find the displacement of the particle in 10 seconds

  90. physics

    An object moves to the right according to the equation x = 4t2 + 3t + 16 where x is in meters and t is in seconds. Determine the object's average velocity between time t = 0 and time t = 4 seconds.

  91. Math

    A strees light L hangs H feet above a flat straight street. A person h feet tall at point O directly under the street light at time t=0 seconds, moves in a straight line along the street a v feet/second. If H=20 feet, h=6 feet, and v=4 miles per hour, find

  92. physics

    Fiber Optic Distances When light rays travel down optical fibers, they don't follow a perfectly straight path. That means the light has to cover a little extra distance compared to the straight-line distance from one end of the fiber to the other. Suppose

  93. math

    A particle travelling along a straight line starts with a velociry ofu metres per second and its speed increases per second by rl metres. The particle travels 10 metres in 2 seconds and 28 metres in 4 seconds. Find u and a. (lf the distance travelled in I

  94. Math

    A car moves along a straight road in such a way that its velocity (in feet per second) at any time t (in seconds) is given by v(t) = 3t sqrt(64−t^2) (0 ≤ t ≤ 8). Find the distance traveled by the car in the 8 sec from t = 0 to t = 8.

  95. Calculus help PLEASE

    It is known that an object traveling in straight line with velocity function v(t) = t^2-t, where v is measured in meters per second. Find following. The position function s(t) when we know the position 5 meters after 2 seconds. I tried to work this out and

  96. physics

    A 10.7 kg bowling ball moves in a straight line at 4.26 m/s. How fast must a 2.55 g Ping-Pong ball move in a straight line so that the two balls have the same momentum?

  97. Basic Physics

    Someone help! A jeepney moves along a straight line at an average speed of 10 m/s. What is the distance traveled by the jeepney in 2.5 h?

  98. math

    using this information: if an object is thrown straight up into the air from the height H feet per second then at time tseconds the height of the object is -16.1t^2 +Vt+ H feet. This formula uses only gravitational force, ignoring air friction. It is valid

  99. Advanced Math

    1. The distance s(t) between an object and its starting point is given by the anti derivitive of the velocity function v(t). find the distance between the object and its starting point after 15 sec if v(t)=0.2t^2+2t+10 meters/seconds. MY ANSWER: 600

  100. calculus

    A particle moves in a straight line under a force such that its displacement s(t), in metres, at time t seconds, is given by s(t) = t3 − 5t2 + 3t +15 Find the time at which the particle is at rest?

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