A particle moves on the xaxis with an acceleration, a=(6t4)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
123,005 results
Physics
The velocity graph of a particle moving along the xaxis is shown. The particle has zero velocity at t=0.00s and reaches a maximum velocity, vmax, after a total elapsed time, t total. If the initial position of the particle is x0 =6.22m, the maximum

AP CALC. AB
A particle moves along a line so that at time t, where 0

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

math
Consider a particle moving along the xaxis where x(t) is the position of the particle at time t, x' (t) is its velocity, and x'' (t) is its acceleration. x(t) = t3 − 12t2 + 21t − 9, 0 ≤ t ≤ 10 Find the open tintervals on which the particle is

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) = (t1)^3(2t3) A. Find the velocity of the particle at any time t greater than or equal to 0. B. For what values

calculus
Consider a particle moving along the xaxis 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 xaxis at a velocity of v(t) = 5/√t, t > 0. At time t = 1, its position is

calculus
5. A particle moves along the xaxis in such a way that its position at time t is given by x=3t^416t^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

Calculus
The Question: A particle moves along the Xaxis 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

physics
The velocityversustime graph is shown for a particle moving along the xaxis. 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

Physics
particle A moves along the line y = 30m 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 0 initial speed and constant acceleration of magnitude 0.50

physics
The position of a particle moving along an x axis is given by x = 15t2  2.0t3, where x is in meters and t is in seconds. (a) Determine the position, velocity, and acceleration of the particle at t = 3.0 s. x = m v = m/s a = m/s2 (b) What is the maximum

calc
i did this problem and it isn't working out, so i think i'm either making a dumb mistake or misunderstanding what it's asking. A particle moves along the x axis so that its velocity at any time t greater than or equal to 0 is given by v(t) = 1 

Physics
A particle moves in the xy plane with a constant acceleration given by a = 4.0j m/s^2. At t = 0, its position and velocity are 10i m and (2.0i +8.0j) m/s, respectively. What is the distance from the origin to the particle at t = 2.0 s?

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

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 vaxis scale is set by vs = 7.0 m/s. (a) What is the coordinate of the particle at

Calculus
A particle starts at the point (5,0) at t=0 and moves along the xaxis 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

Physics
To find the velocity and acceleration vectors for uniform circular motion and to recognize that this acceleration is the centripetal acceleration. Suppose that a particle's position is given by the following expression: r(t) = Rcos(omega*t)i +

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

AP CALC. AB
1.The position of a particle moving on the line y = 2 is given by x(t)= 2t^313t^2+22t5 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 =

Physics
A 0.150 kg particle moves along an x axis according to x(t) = 13.00 + 2.00t + 3.50t2  2.50t3, with x in meters and t in seconds. In unitvector notation, what is the net force acting on the particle at t = 3.45 s? I tried solving using s=Vit + (.5)at^2

HS Calculus
Having trouble with this questions. Please help. A particle moves on the xaxis 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

Physics
The position of a particle moving along the x axis is given by x= 12t2 2t ,where x is in meters and t in seconds . determine the velocity and the acceleration of the particle at t=3.0s

Math889
A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet. f(t) = te−t/4 (a) Find the velocity at time t (in ft/s). v(t) = (b) What is the velocity after 1 s? (Round your answer to two decimal places.)

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) = ((t1)^3)(2t3) 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.

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) = 6t18 b) When is the particle moving up? down? c) Find

Calculus
The position of a particle moving on a horizontal line is given by s(t)=2t^315t^2+24t5, where s is measured in feet and t in seconds. a: What is the initial position of the particle? b: What is the average velocity of the particle on the interval

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

help math
a partial moves along the xaxis 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

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.

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

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

AP Calculus
A particle moves along the xaxis so that at time t its position is given by s(t)=(t+3)(t1)^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.

math
The acceleration of a particle at a time t moving along the xaxis is give by: a(t) = 4e^(2t). At the instant when t=0, the particle is at the point x=2, moving with velocity v(t)=2. Find the position of the particle at t=1/2 if you could show me how to

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

Calc
A particle moves along the xaxis 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

physics
A particle starts from the origin at t = 0 with an initial velocity of 5.5 m/s along the positive x axis.If the acceleration is (2.8i + 4.1jm/s^2, determine (a)the velocity and (b)position of the particle at the moment it reaches its maximum x coordinate.

Calculus
A particle moves along the xaxis 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

calculus
4. A particle starts at the point (5, 0) at t = 0 and moves along the xaxis 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

physics
A 0.150 kg particle moves along an x axis according to x(t) = 13.00 + 2.00t + 3.50t2  2.50t3, with x in meters and t in seconds. In unitvector notation, what is the net force acting on the particle at t = 3.45 s? I tried solving using s=Vit + (.5)at^2

D.E
A particle moves on the xaxis with an acceleration, 246msta. Find the position and velocity of the particle at 3t, if the particle is at origin and has a velocity of 10ms when 0t by using either the method of undetermined

calculus
A particle moves on the xaxis 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

Math
A particle is moving along the xaxis so that its position at t>=0 is given by s(t)=(t)ln(5t). Find the acceleration of the particle when the velocity is first zero.

calculus
let f(t) = 2*pi*t + sin(2*pi*t) a) find value of t in open interval (0,2) for which the tangent line at (t, f(t)) is parallel to the line through (0,0( and (2, 4pi) b) suppose the given funtion describes the position of a particle on the xaxis for 0

Physics
The position of a particle moving along the x axis varies in time according to the expression x=4t^2+2 where x is in meters and t is in seconds. Evaluate it's position at the following times a) Find the displacement from 0s to 3s b) Find the average

IB Calculus
A particle moves along the xaxis so that at any time t≥0, its velocity is given by v(t)=t^216t+4 What is the velocity of the particle when its acceleration is zero?

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

math
Consider a particle moving along the xaxis where x(t) is the position of the particle at time t, x' (t) is its velocity, and x'' (t) is its acceleration. x(t) = t3 − 12t2 + 21t − 7, 0 ≤ t ≤ 10 (a) Find the velocity and acceleration of the

calculus
a particle moves along the xaxis (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 xaxis, a to b is 5

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

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

Calculus
A particle moves along the xaxis 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

Calculus
I don't understand what the graph is suppose to show and what the integral equation is suppose to mean. How would I use the graph to answer the questions? f is the differentiable function whose graph is shown in the figure. The position at time t (sec) of

physics
A body starts with an initial velocity of 10m/s and moves along a straight line with a constant acceleration. When the velocity of the particle becomes 50 m/s the acceleration is reversed in direction without changing magnitude. Find the velocity of the

11th grade
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)= (t2)^3(t6) 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

Calculus
1) A particle is moving along the xaxis 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

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

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

Calculus
a particle moves along the xaxis 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

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

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

Diff eqn IVP
A particle moves on the xaxis with an acceleration, a=(6t4)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

differential equation or physics
A particle moves on the xaxis with an acceleration, a=(6t4)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.

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

Calc
a partial moves along the xaxis 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

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

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

Calculus (Answer Check)
A particle moves along the xaxis so that its velocity at time t, 0(less than or equal)t(greater or equal to)5 is given by v(t)=3(t1)(t3). at time t=2 the position of the particle is x(2)=0. 1. find the minimum acceleration of the particle 2. find the

Calculus (Answer Check)
A particle moves along the xaxis so that its velocity at time t, 0(less than or equal)t(greater or equal to)5 is given by v(t)=3(t1)(t3). at time t=2 the position of the particle is x(2)=0. 1. find the minimum acceleration of the particle 2. find the

Physics
a Particle in xy 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.

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

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

Maths mst
Question – 3: Consider a particle moving according to the velocity function, v(t) = 2a3exp(2t)+2/t+2,for t>0. (a) If the net distance,d,covered by the particle in the time interval,[0,3],is 20,find the value of a. What is the terminal velocity of the

Calculus (Answer Check)
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 xaxis so that its position at any time t(greater or equal to) 0 is given by x(t)=(t1)^3 (2t3) 1.find the

Calculus
A particle, initially at rest, moves along the xaxis 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

calculus
a particle moves along the xaxis 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

Calculus
a particle moves along a line so that at any time t its position is given by x(t)=2(pi)t + cos2(pi)t find velocity find acceleration what are the values of t, 0

ap calc
a particle moves along the xaxis so that its velocity at any time t is equal to or > 0 is given by v(t)= (2pie5)tsin(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

ap calc
a particle moves along the xaxis so that its velocity at any time t is equal to or > 0 is given by v(t)= (2pie5)tsin(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

Physics
A body moved on xaxis at time t secs, the displacement of the particle from the origin is xmetre and the velocity of the particle is vm/s when t=0, s=0 and v=0. 1) given that the particle moves at a constant acceleration and that v=1 when t=4, find a)the

Calculus
An ant moves along the xaxis 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

Physics
A particle moved along the x axis with a constant acceleration of 85.0 meters per second squared. The initial position of the particle was at the origin and its initial velocity was +325 meters per second. Find the position of the particle at T=4.0

Calculus
A particle is moving along the xaxis 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. a)2e^2 b)2e c)e d)None of these Any help is greatly appreciated

Calculous
A particle moves along the caxis so that at time t its position is given by x(t)=t^26^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

Physics
In the figure, particle A moves along the line y = 26 m with a constant velocity of magnitude 2.6 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

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?

Calc
A particle moves along the xaxis 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

Please help with Calculus problem??
A particle moves with a fixed acceleration 3 m/s^2. If its initial velocity is s(0)=0: a) Find its velocity function. b) How long does it take for the particle to reach the velocity 14 m/s^2? c) Find the distance the particle traveled when its velocity

Physics
A particle starts from the origin at t = 0 with an initial velocity of 8.0 m/s along the positive x axis. If the acceleration is (3.7 + 2.5 ) m/s2, determine the velocity and position of the particle at the moment it reaches its maximum x coordinate.

physics
A particle starts from the origin at t = 0 with an initial velocity of 5.4m/s along the positive x axis.If the acceleration is (3.4 i + 4.9 j )m/s^2, determine (a)the velocity and (b)position of the particle at the moment it reaches its maximum x

Physics
The function ax(t) describes the acceleration of a particle moving along the xaxis. At time t=0, the particle is located at the position x0 and the velocity of the particle is zero. ax(t)=a0e−bt The numerical values of all parameters are listed below:

Physics
A particle starts at the origin at t=0 with an intial velocity of 5.0m/s along the positive x axis. If the acceleration is (3.0,4.5) m/s^2, determine the velocity and position of the particle at the moment it reaches its maximum x coordinate. You can't

PHYSICS
When the force F acting on a particle depends only on the particle's position coordinate x, and when the particle moves along the xaxis, then the work done by the force is the area under: a) F versus x curve b) F versus v curve (v is velocity) c) F versus

Calculus
Two particles move along the x axis. For 0 is less than or equal to t is less than or equal to 6, the position of particle P at time t is given by p(t)=2cos((pi/4)t), while the position of particle R at time t is given by r(t)=t^3 6t^2 +9t+3. 1. For 0 is

Calculus
Two particles move along the x axis. For 0 is less than or equal to t is less than or equal to 6, the position of particle P at time t is given by p(t)=2cos((pi/4)t), while the position of particle R at time t is given by r(t)=t^3 6t^2 +9t+3. 1. For 0 is

Calculus
A particle moves along a horizontal line so that at any time t its position is given by x(t)=costt. Time is measured in seconds and x is measured in meters. a.) Find the velocity as a function t. Use your answer to determine the velocity of the particle

Physics
A particle moves with the acceleration a=2e(^t)i+5cos(t)j In the instant when t=0 the particle is at the point r=i3j with the velocity v=4i3j. Calculate the velocity and position of the particle at any instant. I tried doing the problem and ended up

Calculus
A particle moves along the xaxis so that at time t its position is given by s(t)=(t+3)(t1)^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.

physics
The velocity of a particle constrained to move along the xaxis as a function of time t is given by: v(t)=(13/t_0) sin(t/t_0). a)If the particle is at x=4 m when t = 0, what is its position at t = 5t_0. You will not need the value of t_0 to solve any part

physics
The acceleration of a particle which moves along the x axis is given by a=4x+5x^(3/2) The particle has speed of 2m/s when x=1m x is in meters a is in m/s^2 evaluate the velocity when x = 8m I know that I need to use kinematic eqn 3 adr = vdv then take the

Dynamics
The acceleration of a particle which moves along the x axis is given by a=4x+5x^(3/2) The particle has speed of 2m/s when x=1m x is in meters a is in m/s^2 evaluate the velocity when x = 8m I know that I need to use kinematic eqn 3 adr = vdv then take the