# a partial moves along the x-axis so that its velocity at time t, for 0< = t = < 6, is given by a differentiable function v whose graph is shown above. The velocity is 0 at t=0, t=5, and

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1. ## Physics

An object with total mass mtotal = 15.8 kg is sitting at rest when it explodes into three pieces. One piece with mass m1 = 4.5 kg moves up and to the left at an angle of θ1 = 18° above the –x axis with a speed of v1 = 27.6 m/s. A second piece with mass

2. ## Ap Phyics

Figure shows an overhead view of a 0.024 kg lemon half and two of the three horizontal forces that act on it as it is on a frictionless table. Force F1 has a magnitude of 6 N and is at ¥è1 = 25¢ª. Force F2 has a magnitude of 10 N and is at ¥è2 =

3. ## Physics

A snowmobile moves according to the velocity-time graph shown in the drawing. What is the snowmobile's average acceleration during each of the segments A, B, and C? The scale for the time axis is 60 s per increment, and the scale for the velocity axis is

4. ## Physics

I need help with this question with explanation. Thanks A particle of mass m starts from rest at position x = 0 and time t = 0. It moves along the positive x-axis under the influence of a single force Fx = bt, where b is a constant. The velocity v of the

5. ## PHYSICS

A particle confined to motion along the x axis moves with constant acceleration from x = 2.0 m to x = 8.0 m during a 2.5-s time interval. The velocity of the particle at x = 8.0 m is 2.8 m/s. What is the acceleration during this time interval?

6. ## Physics

An object is being acted upon by three forces and moves with a constant velocity. One force is 60N along the x-axis, the second force is 75N along a direction making a counterclockwise angle of 150 degrees with the x-axis. What is the direction of the

7. ## 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

8. ## calculus

5. A particle moves along the x-axis in such a way that its position at time t is given by x=3t^4-16t^3+24t^2 for -5 ≤ t ≤ 5. a. Determine the velocity and acceleration of the particle at time t. b. At what values of t is the particle at rest? c. At

9. ## math

a particle starts at time t = 0 and moves along the x - axis so that its position at any time t is greater than or equal to zero is given x(t) = (t-1)^3(2t-3) A. Find the velocity of the particle at any time t greater than or equal to 0. B. For what values

10. ## 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

11. ## Physics

A person on horseback moves according to the velocity-versus-time graph shown in Figure 2-32. (The vertical axis is marked in increments of 1 m/s and the horizontal axis is marked in increments of 7 s.) Find the displacement of the person for each of the

12. ## Physics 221

1. throughout a time interval, while the speed of a particle increases as it moves along the x axis, its velocity and acceleration might be: A. positive and negative, respectively B. negative and positive, respectively C. negativa and negative,

13. ## phyics

Consulting the graph shown in (Figure 1) , determine the object's average velocity over the time interval from 2 to 4 seconds. Express your answer in meters per second to the nearest integer. Position versus time graph for an object traveling with a

14. ## 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

15. ## Physics

A particle starts from the origin at t = 0 and moves along the positive x axis. A graph of the velocity of the particle as a function of the time is shown in the figure; the v-axis scale is set by vs = 7.0 m/s. (a) What is the coordinate of the particle at

16. ## 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

17. ## Physics 221

An object starts from rest at the origin and moves along the x axis with a constant acceleration of 4m/s^2. Its average velocity as it goes from x=2m to x=8m is: A. 1m/s B. 2m/s C. 3m/s D. 5m/s E. 6m/s An object is released from rest and falls a distance H

18. ## 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 =

19. ## calculus

A Particle moves along the x-axis so that at any time t>0, its acceleration is given by a(t)= ln(1+2^t). If the velocity of the particle is 2 at time t=1, then the velocity of the particle at time t=2 is? The correct answer is 3.346, but how?

20. ## 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.

21. ## Physics

Three particles A, B, C start from the origin from the same time, A with velocity a along x-axis, B with velocity b along y-axis, C with velocity c in xy plane along a line x=y. What should be the magnitude of c so that they always remain collinear is (a).

22. ## 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

23. ## Physics

Figure 2-41 gives the acceleration a versus time t for a particle moving along an x axis. The a-axis scale is set by as = 13.0 m/s2. At t = -2.0 s, the particle's velocity is 10.0 m/s. What is its velocity at t = 6.0 s?

24. ## help math

a partial moves along the x-axis so that its velocity at time t, for 0< = t = < 6, is given by a differentiable function v whose graph is shown above. The velocity is 0 at t=0, t=5, and the graph has horizontal tangents at t=4. the areas of the regions

A particle starts at x=0 and moves along the x-axis with velocity v(t)=2t+1 for time t is less than or equal to 0. Where is the particle at t=4?

26. ## Physics

The figure gives the acceleration a versus time t for a particle moving along an x axis. The a-axis scale is set by as = 15.0 m/s2. At t = -2.0 s, the particle's velocity is 9.00 m/s. What is its velocity at t = 6.0 s?

27. ## Physics check

1)What can you say about the motion of a body if: a. its displacement-time graph is a straight line inclined with the time axis b. its velocity-time graph is a straight line inclined with the same axis. c. its velocity- time graph is a parabola A)The

28. ## ap calculus

a particle moves along the x axis in such a way that its acceleration at time t, t>0 , is given by x(t)= (ln x)^2. at what value of t does the velocity of the particle attain its maximum

29. ## phyics

Consulting the graph shown in (Figure 1) , determine the object's average velocity over the time interval from 2 to 4 seconds. Express your answer in meters per second to the nearest integer. Position versus time graph for an object traveling with a

30. ## Cgs

A particle moves along the x-axis so that at any time t>=0 its velocity is v(t)=9-t^2. If at t=1,is x=2, what is the position of the particle when it is furthest right on the x-axis .

31. ## AP Calculus

An object moves along the x-axis with a velocity of v(t) = sin(pi/3)t for time t greater than or equal to 0. What is the total distance traveled by the object over the time interval 0 less than or equal to t less than or equal to 4?

32. ## Physics

A vessel at rest at the origin of an xy coordinate system explodes into three pieces. Just after the explosion, one piece, of mass m, moves with velocity (-30 m/s)i and a second piece, also of mass m, moves with velocity (-30 m/s)j. The third piece has

33. ## Physics

At time t = 0, a hockey puck is sent sliding in the +x direction over a frozen lake, directly into a strong wind. Figure 2-13 gives the velocity v of the puck versus time, as the puck moves along a single axis. (The time axis is marked in increments of 1.0

34. ## AP Calculus

A particle moves along the x-axis so that at time t its position is given by s(t)=(t+3)(t-1)^3,t>0. For what values of t is the velocity of the particle decreasing? a) 00 d) The velocity is never decreasing. Thanks in advance.

35. ## Calculus

Suppose that an object moves along an s-axis so that its location is given by s(t)=t^2+4t at time t.(Here is in meters and is in seconds.) (a) Find the average velocity of the object in meters per second over the time interval t=2 to t=9 seconds. Average

36. ## Physics

A snowmobile moves according to the velocity-time graph shown in the drawing. What is the snowmobile's average acceleration during each of the segments A, B, and C? The scale for the time axis is 100 s per increment, and the scale for the velocity axis is

37. ## physics

A snowmobile moves according to the velocity-time graph shown in the drawing. What is the snowmobile's average acceleration during each of the segments A, B, and C? The scale for the time axis is 30 s per increment, and the scale for the velocity axis is

38. ## Physics

At time t = 0, a hockey puck is sent sliding in the +x direction over a frozen lake, directly into a strong wind. Figure 2-13 gives the velocity v of the puck versus time, as the puck moves along a single axis. (The time axis is marked in increments of 1.0

39. ## 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

40. ## physics

An object initially at rest on a horizontal OX axis explodes into two pieces . One piece moves just after explosion along the axis OX with a speed of 6m/s. What are the direction and the magnitude of the velocity of the second piece whose mass is three

41. ## physics

A common graphical representation of motion along a straight line is the v vs. t graph, that is, the graph of (instantaneous) velocity as a function of time. In this graph, time t is plotted on the horizontal axis and velocity v on the vertical axis. Note

42. ## Physics 141

A snowmobile moves according to the velocity-time graph shown in the drawing. What is the snowmobile's average acceleration during each of the segments A, B, and C? The scale for the time axis is 100 s per increment, and the scale for the velocity axis is

43. ## Physics

Mass m1 = 0.5 kg moves with constant velocity v1i = 2.5 m/s along the x-axis and collides with mass m2 = 2.6 kg, which moves with velocity v2i = 3.1 m/s, as sketched below(completely vertical). After the collision, m1 and m2 stick together. a.) Find the

44. ## physics

Assume a canister in a straight tube moves with a constant acceleration of -3 m/s2 and has a velocity of 13.5 m/s at t = 0.00 s. (a) What is its velocity at t = 1.00 s? v = m/s (b) What is its velocity at t = 2.00 s? v = m/s (c) What is its velocity at t =

45. ## IB Calculus

A particle moves along the x-axis so that at any time t≥0, its velocity is given by v(t)=t^2-16t+4 What is the velocity of the particle when its acceleration is zero?

46. ## Physics

A uranium nucleus (238U) moves along the positive 𝑥-axis with speed 𝑣 = 5.0 × 105 m/s when it decays into an 𝛼-particle (4He, helium nucleus) and a thorium nucleus (234Th). If 4He moves off at an angle of 20.2° above the 𝑥-axis with a speed

47. ## Math

A particle moves with a velocity of v(t)=3cos(2t) m/s along an axis. Find the distance traveled by the particle over the time interval 0 is less than or equal to "t", which is less than or equal to (pi/8)

48. ## 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

49. ## 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

50. ## MATH

Suppose an object moves along the x-axis so that its position at time $t$ is $x=-t+\frac{t^3}{6}$. (a) Find the velocity, $v(t)=x(t)$, of the object. (b) What is $v(0)$? What does this say about the direction of motion of the object at time $t=0$? (c) When

51. ## calculus

a particle moves along the x-axis (units in cm) its initial position at t=0 sec is x(0)=15. the figure shows the graph of the particle's velocity v(t). the numbers are areas of the enclosed regions. in the graph 0 to a is 4 under the x-axis, a to b is 5

52. ## calculus

A particle moves along the x-axis so that at time t its position is given by s(t) = (t + 3)(t −1)^3, t > 0. For what values of t is the velocity of the particle decreasing? 0 < t < 1 t > 1 t > 0 The velocity is never decreasing

a particle starts at time t=0 and moves on a number line so that its position at time t is given by x(t)= (t-2)^3(t-6) what is the farthest to the left of the origin that the particles moves?? i was able to find the velocity and acceleration formula. but i

54. ## Physics

A dog running in an open field has components of velocity vx = 3.0m/s and vy = -1.1m/s at time t1 = 11.7s . For the time interval from t1 = 11.7s to t2 = 22.2s , the average acceleration of the dog has magnitude 0.55m/s2 and direction 34.5∘ measured from

55. ## physics

A limb, which is 1m long, moves through an angle of 30 degrees in 0.5 seconds. a) What is the average angular velocity of: i) Its end? ii) A point 30 cm from the axis of rotation? b) What is the linear velocity of: i) Its end? ii) A point 30 cm from the

56. ## Linear Momentum in Rotational motion

It is known that for a mass (m) that moves with velocity (v) the linear momentum is (m)x(v). Now, assume we have a rod of mass (m) and radius (R) that rotates with constant angular velocity (w). Also, isolate only half of the cycle (rotation for 180

57. ## physics

In the figure, particle A moves along the line y = 29 m with a constant velocity of magnitude 3.5 m/s and parallel to the x axis. At the instant particle A passes the y axis, particle B leaves the origin with zero initial speed and constant acceleration of

58. ## Physics

The figure gives the acceleration a versus time t for a particle moving along an x axis. The a-axis scale is set by as = 14.0 m/s2. At t = -2.0 s, the particle's velocity is 11.0 m/s. What is its velocity at t = 6.0 s?

59. ## physics

The figure gives the acceleration a versus time t for a particle moving along an x axis. The a-axis scale is set by as = 15.0 m/s^2. At t = -2.0 s, the particle's velocity is 7.00 m/s. What is its velocity at t = 6.0 s?

1) Two cars travel in the same direction along a straight road. The figure below shows the velocity, V, of each car at time t. Car B starts 3 hours after car A and car B reaches a maximum velocity of 40 km/hr. a. For approximately how long does each car

61. ## Calc

a partial moves along the x-axis so that its velocity at time t, for 0< = t = < 6, is given by a differentiable function v whose graph is shown above. The velocity is 0 at t=0, t=5, and the graph has horizontal tangents at t=4. the areas of the regions

62. ## Chels

What can you say about the motion of a body if its veloctiy-time graph is a straight line inclined with the time axis? a. the body moves with uniform velocity b.the body moves with uniform acceleration c. the body moves with non uniform acceleration d. the

63. ## Physics(check)

13)What can you say about the motion of a body if its velocity-time graph is a straight line inclined with the time axis? The body moves with uniform velocity. 14)Which of the following conclusions can be drawn if a velocity-time graph is parallel to the

64. ## calculus

a particle moves along the x-axis in such a way that its acceleration at any time t is given by a(t)= 6t - 18. At time t = 0, the velocity v(t) = 24. and at time t = 1, the position x(t) = 20 i have to find the expression for the velocity and what values t

65. ## physics

1) Mass m1 = 0.7 kg moves with constant velocity v1i = 2.0 m/s along the x-axis and collides with mass m2 = 1.8 kg, which moves with velocity v2i = 3.4 m/s, as sketched below. After the collision, m1 and m2 stick together. Find the angle, θ, between the

66. ## physics

1) Mass m1 = 0.7 kg moves with constant velocity v1i = 2.0 m/s along the x-axis and collides with mass m2 = 1.8 kg, which moves with velocity v2i = 3.4 m/s, as sketched below. After the collision, m1 and m2 stick together. Find the angle, θ, between the

67. ## Physics

An object with an initial velocity of 4 m/s moves along a straight axis under constant acceleration.Three sec later its velocity is 14m/s.How far did it travel during this time? A.27 B.17 C.67 D.57 E.77

68. ## chemistry

The time dependent concentration of solute particles in a solution is given by c(r, t) = [n/8(pi D t)^(3/2)] e^(-r^2 /4 D t) where r^2 = x^2 + y^2 + z^2 with x, y, and z being the values of three components of the position in the Cartesian coordinate

69. ## 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

70. ## Modern Physics

(7) Show that if a particle moves at an angle θ with respect to the x-axis with speed u in frame S, then it moves at an angle θ′ with the x′-axis in frame S′ with tanθ′ = sinθ /( γ(cos θ − v/u)) Assume that S′ moves in the +x direction

71. ## Calculus

A particle moves along the x-axis with velocity v(t) = -(t-3)² + 5 for [0,6]. a) Find the average velocity of this particle during the interval [0,6]. b) Find a time t* ∈ [0,6] such that the velocity at time t* is equal to the average velocity during

72. ## 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

73. ## math

a particle M oscillators (that is, moves back and forth) in a straight line along the horizontal axis. the position of M is given by: s(t) = 4 + 2 sin(2t) (1) Find the velocity (v) and acceleration (a) functions. (2) Find the initial position, initial

74. ## Physics

17. A 5.6 kg toy race car moves along an x axis. The diagram below shows the force acting on the car. (The vertical axis is marked in increments of 2 N.) a) What is the momentum of the car at t = 9.0 s b) What is the car's velocity at t = 9.0 s? The graph

75. ## physics

Two masses are involved in an elastic collision. The first has a mass of 0.150 kg and an initial velocity of 0.900 m/s directed at an angle of 50 degrees with the positive y-axis as shown below. The second mass, of 0.260 kg moves along the x-axis with an

76. ## Calculus

A particle moves along the x-axis so that at time t its position is given by s(t)=(t+3)(t-1)^3,t>0. For what values of t is the velocity of the particle decreasing? a) 00 d) The velocity is never decreasing. Thanks in advance.

77. ## AP CaLC. AB

A particle moves along the x-axis with the velocity at time t=>0 given by v(t)=t^2-3 cos(t). If the particle is at the origin when t=0, its position at the time when v=0, x=?? a. 5.276 b. 334.965 c. 15.276 d. 6.682 e. 2.670

78. ## math

a particle moves with acceleration a(t)=(t-2)m/s^2 along an x axis and has velocity v=(0)m/s at time t=0.find the displacement and distance travelled by the particle during the given time intervals 1is less than equal to t less than equal to 5

79. ## 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

80. ## Calculus

A particle moves along the x-axis so that at time "t" its position is given by s(t)=(t+3)(t-1)^3 ,t>0 For what values of "t" is the velocity of the particle increasing? a) 00 d) the velocity is never increasing

81. ## physics

a particle covers 1/2 distance between A and B with a velocity V0. during 1/2 of the time required to cover the remaining distance the particle moves with a velocity V1 and rest moves with a velocity V2. find the average velocity of the particle

82. ## Science/physics

I done the problem and was wondering if my answer is right I got 1.87 and then 12.4 degrees above x axis please help At time t = 0 s, a puck is sliding on a horizontal table with a velocity 4.60 m/s, 32.0° above the +x axis. As the puck slides, a constant

Are my answers right? If they are wrong you don't have to tell me how to do it its okay =) A particle starts at time t=0 and moves along the x-axis so that its position at any time t(greater or equal to) 0 is given by x(t)=(t-1)^3 (2t-3) 1.find the

84. ## Physics

How do you convert a distance time graph to a velocity time graph. In my first distance time graph, i have 3 curves, two are above the x axis the the middle curve is under the x axis. i am confused on how to change this graph into a velocity time graph

85. ## ap calc

a particle moves along the x-axis so that its velocity at any time t is equal to or > 0 is given by v(t)= (2pie-5)t-sin(piet) a.find the acceleration at any time t. b.find the minimum acceleration of the particle over the interval [0,3] c.find the maximum

86. ## ap calc

a particle moves along the x-axis so that its velocity at any time t is equal to or > 0 is given by v(t)= (2pie-5)t-sin(piet) a.find the acceleration at any time t. b.find the minimum acceleration of the particle over the interval [0,3] c.find the maximum

87. ## Math

The velocity of a body A is given by v(t) = 2t^i + t 3^j. The body starts from rest at time t = 0 and position s(0) = 2^i 10^j. At what time, t, does the body cross the X axis? What is the average velocity of the body for the time interval, t = 0 and the

88. ## physics

A limb, which is 1m long, moves through an angle of 30 degrees in 0.5 seconds. a) What is the average angular velocity of: i) Its end? ii) A point 30 cm from the axis of rotation? b) What is the linear velocity of: i) Its end? ii) A point 30 cm from the

89. ## physics

A particle moves along the y axis according to y(t)=(3.5 m/s^2)t^2 - (9.0 m/s)t + 5.0 m. (a) What is the particle's velocity as a function of time? (b) What is the particle's acceleration at t=2.0 s?

90. ## Integral Calculus

A jeepney's velocity over time in ft/sec as it moves along the x-axis is governed by the function v(t)=3t^2-10t+15. If the jeep's position at t= 1 second is 8ft, what is the total displacement made by the jeepney from t=0 to t=5sec? please I need help, i

91. ## Physics

A rocket lifts off its launching pas with a vertical velocity of 20. m/s and a horizontal velocity of 60. m/s. What are the magnitude and direction of its resultant velocity? I drew the x and Y axis. 20 m/s on the Y axis and 30 m/s on the X axis. I know I

92. ## physics help

The magnitude of the velocity of a particle which starts from rest 2 ft below the origin when t = 0 and moves along a vertical axis is directly proportional to the time after starting. The displacement of the particle during the time interval from t = 1

93. ## physics help

The magnitude of the velocity of a particle which starts from rest 2 ft below the origin when t = 0 and moves along a vertical axis is directly proportional to the time after starting. The displacement of the particle during the time interval from t = 1

94. ## 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

95. ## Ap calc

A particle moves on the x axis so that it's position at any time t is greater than or equal to 0 is given by x(t)=2te^-t. A) find velocity for any t is greater or equal to 0

96. ## Calculus

An ant moves along the x-axis with velocity given by v(t)=tsin(t^2), t is greater than or equal to zero. Given that x(t) is the position of the particle at time t and that x(0)=3, find x(2) Find the total distance traveled by the particle from t=0 to t=2

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