The position function of an object moving along a straight line is given by s = f(t). The average velocity of the object over the time interval [a, b] is the average rate of change of f over [a, b];

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  1. AP Calculus

    A particle is moving along a horizontal straight line. The graph of the position function (the distance to the right of a fixed point as a function of time) is shown below. Answer the following questions only on the interval (0,8). 1. When is the particle

  2. Physics

    Please show how you got the answers, not just the answers. A 40.0 N force stretches a vertical spring 0.250 m. (A) What mass must be suspended from the spring so that the system will oscillate with a period of 1.0 s? (B) If the amplitude of the motion is

  3. Math

    You're on a skateboard, moving very fast but at a constant speed. Are you accelerating? Explain. Lara Claims that if an object is accelerating, it must be moving. She also claims that if an object is not accelerating, it must be at rest. Is lara correct?

  4. Calculus Antiderivative Problem

    An object moves along a coordinate line with acceleration a(t)=(t+2)^3 units per second per second. a). The initial velocity is 9 units per second. The velocity function is v(t) = b).The initial position is 2 units to the right of the origin. The position

  5. physics

    For the next part, you will need to know that the position d of an object attached to a spring that oscillates with period T=1.0s is a sinusoidal function of time: d=kcos(2πt)d=kcos(2πt) for some constant k. Assume that the initial position of the object

  6. Physics please help!

    An object is moving along a straight line and the uncertainty in its position is 1.1 m. (a) Find the minimum uncertainty in the momentum of the object. (b) Find the minimum uncertainty in the object's velocity, assuming that the object is a golf ball (mass

  7. Physics

    The potetial energy of a spring is 0.25 J when it is compressed 0.05m to the left of the equilibrium position. At this point it comes to its leftmost position. What is its kinetic energy when it returns to its equilibrium point? a. zero b. 0.25 J and the

  8. physics

    The position of an object as a function of time is given as x = At3 + Bt2 + Ct + D. The constants are A = 2.3m/s3, B = 1.8m/s2, C = −4.3m/s, and D = 2 m.(a) What is the velocity of the object at t = 12s? (b) What is the acceleration of the object at t =

  9. Science

    To determine the acceleration of an object moving in a straight line, you must calculate the change in its stored during each unit of A. Velocity. B. Time. C. Motion. D. Deceleration. Is the answer B? Thank you

  10. Calculus

    Let f be the function given by f(t) = 2ðt + sin(2ðt) a) Find the value of t in the open interval (0,20 for which the line tangent at (t, f(t)) is parallel to the line through (0,0) and (2,4ð) b) Suppose the given function describes the position of a

  11. 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?

  12. Physics

    An object’s position-time graph is a straight line with a negative slope. Is the velocity of this object positive, negative, or zero? Explain.

  13. 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.

  14. physics

    The position versus time for a certain object moving along the x-axis is shown. The object’s initial position is −2 m. Find the instantaneous velocity at 6 s. Answer in units of m/s

  15. Physics

    can someone help i'm stuck on two questions??? 23. On a velocity-time graph, when is the object not moving? when the slope is a straight line rising to the right when the slope is a straight line falling to the right when the slope is a line curving upward

  16. 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]

  17. Calc 1

    Consider the position function s(t)=sin((pi)(t)) representing the position of an object moving along a line on the end of a spring. Sketch a graph of s with the secant line passing through (0,s(0)) and (0.5,s(0.5)). Determine the slope of the secant line

  18. phsyic's

    If an object is moving at a constant acceleration then it could NOT be.... A. changing its direction B. moving in a straight line C. Moving at a constant speed D. Moving at a constant velocity ((D is what I think it is))

  19. 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?

  20. 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]

  21. Physics (check)

    True/False 3)The position-time graph of an object moving with a constant average velocity is always a straight line. True 4)A time interval is a scalar quantity. True

  22. 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?

  23. physics

    A particle is moving along a straight line and its position is given by the relation x=(t3- 6t2- 15t+40) m FIND a) The time at which velocity is Zero, b) Position and displacement of the particle at that point. c) Acceleration for the particle at that

  24. 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?

  25. Physics

    A particle is moving along a straight line and its position is given by the relation x=( t3-6t2-15t+40)mm. Find:- (a). The time at which velocity is zero. (b). Position & displacement of the particle at that point. (c). Acceleration for the particle at

  26. Dynamics

    A particle moving along a straight line is subjected to a deceleration a=-2v^3 m/s2. If it has a velocity v=8 m/s and a position x=10 m when t=0, determine its velocity and position when t=4s. I tried to integrate the deceleration equation, but it didn't

  27. Calculus

    An object is thrown straight down from the top of a building 200 feet tall with an initial velocity of 20 ft/sec. Use the position function s(t) = –16t 2 + v0t + s0.

  28. 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

  29. physics # 1

    1. If a particle moves in a plane so that its position is described by the function x = Acosùt, and y = Asinùt, it is a.) moving with varying speed along a circle b.) moving with constant speed along a circle c.) moving with constant acceleration along a

  30. physics

    An object is moving along a straight line, and the uncertainty in its position is 2.40 m. (a) Find the minimum uncertainty in the momentum of the object. Find the minimum uncertainty in the object's velocity, assuming that the object is (b) a golf ball

  31. 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.)

  32. phy 231

    An object of mass m1=3.3 kg moving at 4.7 m/s strikes a stationary second object of unknown mass. After an elastic collision, the first object is observed moving at 3.76 m/s at an angle of -41° with respect to the original line of motion. What is the

  33. Calculus

    In a test run, a new train travels along a straight-line track. Data obtained from the speedometer indicate that the velocity of the train at any time t can be described by the velocity function v(t) = 8t (0 _< t _< 30) a. Find the position function of the

  34. 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)

  35. 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

  36. Mathematics

    A researcher observes and records the height of a weight moving up and down on the end of a spring. At the beginning of the observation the weight was at its highest point. From its resting position, it takes 12 seconds for the weight to reach its highest

  37. 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

  38. Math 160

    The position function of an object moving along a straight line is given by s = f(t). The average velocity of the object over the time interval [a, b] is the average rate of change of f over [a, b]; its (instantaneous) velocity at t = a is the rate of

  39. Dynamics

    The acceleration of a particle moving along a straight line is inversely proportional to its speed with the constant of porpotionality being k. The body starts from the position s = x0 ^i with initial speed v0. Determine the velocity of the particle as a

  40. science

    An object moving in a straight line at a constant velocity of 2m/s accelerates at 3m/s2 for 4s . what's the displacement of the object ?

  41. 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?

  42. physics repost

    True/False 3)The position-time graph of an object moving with a constant average velocity is always a straight line. True 4)A time interval is a scalar quantity. True

  43. physics

    how is the position of a particle moving along a straight line described by a number

  44. physics

    Q: AN OBJECT IS MOVING PAST YOU IN A STRAIGHT LINE WITH A CONSTANT SPEED. YOU CAN CONCUDED A. THAT THERE IS A CONSTANT FORCE IN THE DIRECTION OF MOTION B. THAT THERE ARE NO FORCES ACTING ON THE OBJECT C. THAT THE NET FORCE ON THE OBJECT IS ZERO D. NONE OF

  45. graphing

    Q: How could the function y=3t^2 +4 be plotted on a cartesian graph to produce a straight line? What would be the numerical values of the slope and the intercept of the line? For this it's explained in the lab book for physics as if the function is y=mx+b

  46. physics

    1. An object is moving along a straight road at the speed of 6km/h. a. How further away is the object every one hour? b. How further away is the object every half (1/2) hr? c. How further away is the object very 1/3hr? plot (draw) the s against t graph for

  47. calculus

    the function s(t)=(t^2+t)^2/3, t>0, represents the displacement s, in metres, of a particle moving along a straight line after t seconds

  48. Physics

    An object moving with uniform acceleration has a velocity of 13.0 cm/s in the positive x-direction when its x-coordinate is 2.73 cm. If its x-coordinate 2.95 s later is −5.00 cm, what is its acceleration? cm/s^2 Express the position of the object in

  49. Calculus Please Check my answer

    An object has a constant acceleration of 30 ft/sec2, an initial velocity of −10 ft/sec, and an initial position of 4 ft. Find the position function, s(t), describing the motion of the object. s(t)=4-10t+15^2

  50. calc

    An object has a constant acceleration of 30 ft/sec2, an initial velocity of −10 ft/sec, and an initial position of 4 ft. Find the position function, s(t), describing the motion of the object.

  51. Physics help

    A 1.0 kg object is suspended from a vertical spring whose spring constant is 105 N/m. The object is pulled straight down by an additional distance of 0.25 m and released from rest. Find the speed with which the object passes through its original position

  52. 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

  53. chabot college

    Consider the position function s(t)=sin((pi)(t)) representing the position of an object moving along a line on the end of a spring. Sketch a graph of s with the secant line passing through (0,s(0)) and (0.5,s(0.5)). Determine the slope of the secant line

  54. calculus

    Given the position function of an object moving in a straight line, measured in meters, from the origin. Describe the motion in all phases throughout the duration of the motion from time t=0 to t=11 sec. s(t)=t^3 - 15t^2 + 50t State when the object is

  55. 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)

  56. 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

  57. 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

  58. physics HELP!!

    An object is moving along a straight line, and the uncertainty in its position is 2.40 m. (a) Find the minimum uncertainty in the momentum of the object. Find the minimum uncertainty in the object's velocity, assuming that the object is (b) a golf ball

  59. Math

    an object is moving along the x-axis such that the position of the object in masters at time t in seconds is giving by the function x(t)=t^3-12t^2+36t-5, for 0

  60. 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

  61. mitx 8.01x Classical Mechanics

    An object is moving along a straight line parallel to the x-axis. Its position as a function of time is given by: x(t)=30 m−21 (ms) t+3 (ms2) t2 where the position x is in (m) and the time t is in (s). (a) What is the object's velocity at t=0 s, 2 s, and

  62. Calculus

    An object at rest begins moving horizontally on the x-axis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin AND measure the object to be

  63. Big MATH Help needed

    An object at rest begins moving horizontally on the x-axis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin AND measure the object to be

  64. MATH please help

    An object at rest begins moving horizontally on the x-axis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin AND measure the object to be

  65. Math

    An object at rest begins moving horizontally on the x-axis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin AND measure the object to be

  66. Math/ Calculus Please HELP!!!

    An object at rest begins moving horizontally on the x-axis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin AND measure the object to be

  67. physics

    A particle is moving along a straight line and its position is given by the relation x=( t3-6t2-15t+40)mm. Find:- (a). The time at which velocity is zero. (b). Position & displacement of the particle at that point. (c). Acceleration for the particle at

  68. 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

  69. 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

  70. PHYSICS

    Q: AN OBJECT IS MOVING PAST YOU IN A STRAIGHT LINE WITH A CONSTANT SPEED. YOU CAN CONCUDED A. THAT THERE IS A CONSTANT FORCE IN THE DIRECTION OF MOTION B. THAT THERE ARE NO FORCES ACTING ON THE OBJECT C. THAT THE NET FORCE ON THE OBJECT IS ZERO D. NONE OF

  71. science 4th grade

    What is the property of matter that keeps a moving object in a straight line called

  72. Velocity

    Which of these statements are true... I think (1)and (5) are correct 1)A reversing vehicle must have negative velocity 2) A stationary object must have zero position 3)Two vehicles trvelling at the same speed at the same instant of time on the same road

  73. Maths/Physics

    Which of these statements are true... I think (1)and (5) are correct 1)A reversing vehicle must have negative velocity 2) A stationary object must have zero position 3)Two vehicles trvelling at the same speed at the same instant of time on the same road

  74. physics

    Suppose that a spring is attached to a wall. On the other end of the spring, it is attached to an object of 0.263kg. When the spring is compressed at a distance of 15cm, it holds an elastic potential energy of 20.0J. The horizontal surface has no friction;

  75. Physics

    There is a parabolic position vs time graph. Which of these is true: The object moves 1. in a parabolic trajectory. 2. along a straight line. 3. along an arc of a circle wouldn't 1 and 3 produce the same/similar position graph?

  76. calculus

    after t seconds the position of a particle which is moving along a straight line is x=2t^3-9t^2+12t+6, when is the acceleration zero? determine the velocity at that time.

  77. Math

    Q: How could the function y=3t^2 +4 be plotted on a cartesian graph to produce a straight line? What would be the numerical values of the slope and the intercept of the line? For this it's explained in the lab book for physics as if the function is y=mx+b

  78. math

    When an F14 fighter jet takes off, its wings are 110 degrees from the line of flight. To reach its maximum speed, the wings pull to a back position that cretes an angle from the line of flight that is 22 degrees less than a straight angle. Moving at 0.5

  79. Integration

    The velocity v(t) = x'(t) at time t of an object moving along the x axis is given, along with the initial position x(0) of the object. In each case, find: 5) x'(t) = 1/((2t + 1)^(1/2)); x(0) = 0 a) the position x(t) at time t I found that x(t) = (2t +

  80. Physics

    At time an object of mass 50.34 g on the end of a horizontal spring is moving to the right at 10 cm/s and is displaced 2 cm to the left from the equilibrium position. If the spring constant is 0.234N/m, find an expression for the position of the particle

  81. Physics

    At time an object of mass 50.34 g on the end of a horizontal spring is moving to the right at 10 cm/s and is displaced 2 cm to the left from the equilibrium position. If the spring constant is 0.234N/m, find an expression for the position of the particle

  82. Physics

    At time t=0 an object of mass 50.34 g on the end of a horizontal spring is moving to the right at 10 cm/s and is displaced 2 cm to the left from the equilibrium position. If the spring constant is 0.234N/m, find an expression for the position of the

  83. -MATH-

    h=-16t2+80t+96 Use this position polynomial to calculate the following: 1.The height of the object after 2 seconds 2.The height of the object after 4 seconds 3.How long the object will take to reach the ground? 4.Write the position function for an object

  84. multiple choices

    Which of the following is accelerating? An object moving with a constant velocity. An object moving along a curve. None An object moving on a straught line with a constant speed.

  85. Physics

    given s(t) =1/(t+5) .. this is the position of the moving object. Velocity? Acceleration of the object 3 seconds after it starts moving?

  86. Calc

    If a car is driving in a straight line with constant acceleration a, initial velocity v0, and initial position s0, find a formula for the position function of the car. How would I solve this equation?

  87. Math Calc

    An object is moving along a circle of radius 5 . When the object is at the point (−4,3) , the y value of its position is changing at the rate of 9 units per second. How fast is the x value of its position changing at that moment?

  88. Math: Calculus

    The velocity function is v(t)= t^2-5t+ 4 for a particle moving along a line. The position function s(t) is an antiderivative of the velocity function. Find the displacement, s(6) - s(-3), by the particle during the time interval [-3,6].

  89. Physics

    This question has to do with kinematics graphing. I CAN NOT REPRODUCE THE GRAPH BUT hope that some help can be given to me with this question. The position versus time for a certain object moving along the x-axis. The object's initial position is -2 m.

  90. Calculus

    In a test run, a new train travels along a straight-line track. Data obtained from the speedometer indicate that the velocity of the train at any time t can be described by the velocity function v(t) = 8t (0 ¡Ü t ¡Ü 30) a. Find the position function of

  91. 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)

  92. Physics

    1) an objects position-time graph is a straight line with a positive slope. is the velocity of this object positive,negative or zero. negative 2) an objects position-time graph is a straight line with a negative slope. is the velocity of this object

  93. Science

    Science To determine the acceleration of an object moving in a straight line, you must calculate the change in its stored during each unit of A. Velocity. B. Time. C. Motion. ******* D. Deceleration Please help

  94. Calculus

    An object has a constant acceleration of 40 ft/sec2, an initial velocity of -20 ft/sec, and an initial position of 10 ft. Find the position function, s(t), describing the motion of the object.

  95. urgent calculus

    The position of a particle moving in a straight line is given by s(t) = 2sint - cost , from 0 to 2 pi where s is the displacement in metres and t is the time in seconds. Find the absolute max and absolute min displacements.

  96. Physics

    write a general equation describing the position at any time of an object starting from some position x0 moving with velocity v.

  97. 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

  98. physics! description explanations

    The graph at the right is a positive vs. Time graph for the motion of an object moving along a horizontal (x) axis For each of the 8 1-second time intervals, describe the displacement, instantaneous velocity (+/- and whether the velocity is increasing or

  99. Physics

    Object 1, which has mass 100 kg, is moving at 3 m/s and collides with Object 2, which has mass 50 kg and is moving at -8 m/s. If the first object stops moving after the collision, how fast would the second object be moving at that time? I think the answer

  100. Algebra

    I frequently find myself lost with concepts in math, and even looking at some problems is an anxiety trip. I have several questions on a test, all vaguely revolving around the same concept, but I'm not sure how to make sense of them. Could someone explain

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