Question

In: Math

at time t= 0 , a particle is located at the point (4,8,7). it travels in...

at time t= 0 , a particle is located at the point (4,8,7). it travels in a straight line to the point (7,1,6) has speed 7 at (4,8,7) and constant acceleration 3i-7j-k. find an equation for the position vector r(t) of the particle at time t

Solutions

Expert Solution


Related Solutions

at time t=0, a particle is located at the point(4,8,7). it travels in a straight line...
at time t=0, a particle is located at the point(4,8,7). it travels in a straight line to the point (7,1,6), has speed 7 at (4,8,7) and constant acceleration 3i-7j-k. Find an equation for the position vector r(t) of the particle at time
A particle moves from point A = (0, 0, 0) to point B = (2π, 0,...
A particle moves from point A = (0, 0, 0) to point B = (2π, 0, 2π), under the action of the force F = xi + yj − zk . a. Calculate the work done by the force F on the particle if it moves along the conic-helical curve r(t) = (t cost )i + (t sint )j + tk with 0 ≤ t ≤ 2π. b. Find a parametric vector equation for the straight line connecting A to...
Q.1- At time t=0.00s, a particle located at the origin in the x-y plane has a...
Q.1- At time t=0.00s, a particle located at the origin in the x-y plane has a velocity given by 3.00m/s i + 2.00m/s j. Three seconds later, the velocity is 9.00m/s i - 7.00m/s j. Assume that the particle had a constant acceleration during those three seconds. 1- What was the acceleration of the particle? 2-What is the position of the particle at t=3.00s?
A particle moves in the xy plane with constant acceleration. At t = 0 the particle...
A particle moves in the xy plane with constant acceleration. At t = 0 the particle is at vector r1 = (3.6 m)i + (2.8 m)j, with velocity vector v1. At t = 3 s, the particle has moved to vector r2 = (11 m)i − (1.8 m)j and its velocity has changed to vector v2 = (4.6 m/s)i − (6.7 m/s)j. (a) Find vector v1. vector v1 = m/s (b) What is the acceleration of the particle? vector a...
A particle moves in the xy plane with constant acceleration. At t = 0 the particle...
A particle moves in the xy plane with constant acceleration. At t = 0 the particle is at r1 = (4.0 m) + (3.0 m), with velocity 1. At t = 3 s, the particle has moved to r2 = (9 m) − (2.0 m) and its velocity has changed to v2 = (5.0 m/s) − (6.0 m/s). i. Find 1 = m/s ii. What is the acceleration of the particle? iii. What is the velocity of the particle as...
A particle is moving according to the given data v(t)=t^2 - sqrt(t), x(0) = 0, 0...
A particle is moving according to the given data v(t)=t^2 - sqrt(t), x(0) = 0, 0 ≤ t ≤ 4. • Find x(t), the position of the particle at time t. • For what values of t is the particle moving to the left? To the right? • Find the displacement of the particle. • Find the total distance covered by the particle.
A particle (charge = -15.0 µC) is located on the x- axis at the point x...
A particle (charge = -15.0 µC) is located on the x- axis at the point x = -25.0 cm, and a second particle (charge = +45.0 µC) is placed on the x- axis at x = +30.0 cm. What is the magnitude of the total electrostatic force on a third particle (charge = -3.50 µC) placed at the origin (x = 0)?
A particle with charge 7 µC is located on the x-axis at the point −4 cm...
A particle with charge 7 µC is located on the x-axis at the point −4 cm , and a second particle with charge 4 µC is placed on the x-axis at 8 cm . What is the magnitude of the total electrostatic force on a third particle with charge −4 µC placed on the x-axis at 2 cm ? The Coulomb constant is 8.9875 × 109 N · m2 /C 2 . Answer in units of N.
The position vector F(t) of a moving particle at time t[s] is given by F(t)= e^t...
The position vector F(t) of a moving particle at time t[s] is given by F(t)= e^t sin(t)i-j+e^t cos(t)k a) Calculate the acceleration a(t). b) Find the distance traveled by the particle at time t = 3π/2, if the particle starts its motion at time t = π/2. c) Find the unit tangent vector of this particle at time t = 3π/2. d) Find the curvature of the path of this particle at time t = 3π/2.
Q3. Point charge q1 = 2.0 nC is located at (0, 0). What is the electric...
Q3. Point charge q1 = 2.0 nC is located at (0, 0). What is the electric potential at point A (2.0 cm,0)? What is the electric potential at point B (3.0 cm, 0)? What is the change of electric potential from A to B? What is the change of electric potential energy for a proton when it moves from A to B? What is the change of electric potential energy for an electron when it moves from A to B?...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT