Suppose you subject a particle to an acceleration of ~a = 4ˆi + 3ˆj and at...
Suppose you subject a particle to an acceleration of ~a = 4ˆi + 3ˆj and at t = 0, the velocity and position is zero. (a) Find ~v(t) and ~r(t). (b) Find the equation of the path of the particle in the x-y plane.
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Suppose you subject a particle to an acceleration of ~a = 4ˆi +
3ˆj and at...
2. A particle has a constant acceleration of ?⃗ = (6.0 m s 2 ⁄ )?̂...
2. A particle has a constant acceleration of ?⃗ = (6.0 m s 2 ⁄ )?̂ + (4.0 m s 2 ⁄ )?. At ̂ ? = 0, the velocity is zero and the position vector is ?⃗ 0 = (10 m)?̂. (a) Find the velocity and position vectors as a function of time ?. b)Find the equation of the particle’s path in the xy plane and sketch the path.
I need help with B, C, D. These are Calc 3 problems 32. Suppose a particle...
I need help with B, C, D. These are Calc 3 problems
32. Suppose a particle of mass m has position given by r(0) =< 1,0,0 >, and velocity given by v(0)0,1,-1 > at time t = 0. Also, assume that for every time t 20 the particle experiences only the force given by the vector function F(t) = m < -cos(t), 0, sin(t) >. Disregard units in this problem a) Use Newton's Second Law, F(t) = ma(t) (where a(t)...
4. A particle starts from an initial position with coordinates To = 8 + 5ſm, at...
4. A particle starts from an initial position with coordinates To = 8 + 5ſm, at time t= 0, with a velocity of V. = 3i-8 m/s. The particle moves in the r-y plane with a constant acceleration, à = -21 - m/s. (a) At the instant the y-coordinate of the particle's position is -10 m, find the x- coordinate of its position. (b) Calculate the x- and y-components of the particle's position when the particle reaches its turning point...
please i need help asap Problem 1 The acceleration of a particle moving only on a...
please i need help asap Problem 1 The acceleration of a particle moving only on a horizontal xy plane is given by a=3ti+4tj, where a is in meters per seconds squared and t is in seconds, at t=0, the position vector r=(20.0m)i+(40.0m)j locates the particles, which then has the velocity vector v=(5.00m/s)i+(2.00m's)j. at t=4.00s, what are (a) its position vector in unit-vector notation and (b) the angle between its direction of travel and the positive direction of the x axis?...
1) 2D kinematics (rectangular coordinates) - A particle moving in the x-y plane has an acceleration...
1) 2D kinematics (rectangular coordinates) - A particle moving in the x-y plane has an acceleration in the y-direction given as ay -3t ft/s2 and an x-position ofx 3t + 2 ft. When t0, yo3ft and Vo, -4ft/s. a) Derive expressions for x, vx, ax, V, Vy, ay as functions of time. b) At times t 0,1,2 seconds, calculate the magnitude of velocity and the angle it makes with the x-axis. c) At times t 0,1,2 seconds, calculate the magnitude...
At t = 0, a particle moving in the xy plane with constant acceleration has a...
At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of vector v i = (3.00 i - 2.00 j) m/s and is at the origin. At t = 3.60 s, the particle's velocity is vector v = (8.90 i + 7.70 j) m/s. (Use the following as necessary: t. Round your coefficients to two decimal places.) (a) Find the acceleration of the particle at any time t. vector a = m/s2 (b)...
At t = 0, a particle moving in the xy plane with constant acceleration has a...
At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of vector v i = (3.00 i - 2.00 j) m/s and is at the origin. At t = 3.70 s, the particle's velocity is vector v = (7.40 i + 6.90 j) m/s. (Use the following as necessary: t. Round your coefficients to two decimal places.) (a) Find the acceleration of the particle at any time t. vector a = m/s2 (b)...
A particle moves in the xy plane with constant acceleration. At time t=0 s, the position...
A particle moves in the xy plane with constant acceleration. At time t=0 s, the position vector for the particle is r=9.70mx^+4.30my^. The acceleration is given by the vector a=8.00m/s^2x^+3.90m/s^2y^. The velocity vector at time t=o s is v=2.80m/sx^ - 7.00m/sy^. What is the magnitude of the position vector at time t= 2.10 s? What is the angle between the position vector and the positive x-axis at time t= 2.10 s?
(a) Find the position vector of a particle that has the given acceleration and the specified...
(a) Find the position vector of a particle that has the given acceleration and the specified initial velocity and position. a(t) - 13ti + etj + e-t, V(0) - k, r(0) = 1 + k r(t) -
1. The position of a particle is given by the following equation: where all numerical values...
1. The position of a particle is given by the following equation: where all numerical values have the appropriate units to produce a result in meters and are accurate to three significant figures. (a) The particle begins on the yz-plane at t-0.00. At what time will the particle return to the yz-plane? (b) What will the velocity, v, of the particle be at this time? (c) When will the velocity, v, be zero? (d) What will the acceleration, ã, of...
I need help with B, C, D. These are Calc 3 problems
32. Suppose a particle of mass m has position given by r(0) =< 1,0,0 >, and velocity given by v(0)0,1,-1 > at time t = 0. Also, assume that for every time t 20 the particle experiences only the force given by the vector function F(t) = m < -cos(t), 0, sin(t) >. Disregard units in this problem a) Use Newton's Second Law, F(t) = ma(t) (where a(t)...
4. A particle starts from an initial position with coordinates To = 8 + 5ſm, at time t= 0, with a velocity of V. = 3i-8 m/s. The particle moves in the r-y plane with a constant acceleration, à = -21 - m/s. (a) At the instant the y-coordinate of the particle's position is -10 m, find the x- coordinate of its position. (b) Calculate the x- and y-components of the particle's position when the particle reaches its turning point...
1) 2D kinematics (rectangular coordinates) - A particle moving in the x-y plane has an acceleration in the y-direction given as ay -3t ft/s2 and an x-position ofx 3t + 2 ft. When t0, yo3ft and Vo, -4ft/s. a) Derive expressions for x, vx, ax, V, Vy, ay as functions of time. b) At times t 0,1,2 seconds, calculate the magnitude of velocity and the angle it makes with the x-axis. c) At times t 0,1,2 seconds, calculate the magnitude...
(a) Find the position vector of a particle that has the given acceleration and the specified initial velocity and position. a(t) - 13ti + etj + e-t, V(0) - k, r(0) = 1 + k r(t) -
1. The position of a particle is given by the following equation: where all numerical values have the appropriate units to produce a result in meters and are accurate to three significant figures. (a) The particle begins on the yz-plane at t-0.00. At what time will the particle return to the yz-plane? (b) What will the velocity, v, of the particle be at this time? (c) When will the velocity, v, be zero? (d) What will the acceleration, ã, of...
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