The path of a particle can be expressed as: r = 6t i + (3t2-4) j + 7 k, please determine the acceleration of this particle.
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1. The path of a particle can be expressed as: r 6t i (30-4)j 7 k, please determine the acceleration of this particle.
A particle is located at r(t) = 14t i + 6t^2 j. Find its position, velocity and acceleration at t = 2 s.
( Problem 3) If field J is expressed as below at 712, π2, 3T2) , determine the vector component of J that is: J.= r sin θ cos gar-cos 2θ sin φǎθ + tan-In ra, (i) Parallel to az (ii) Normal to surface φ= 372 (iii) Tangential to the spherical surface r 2
The velocity of a particle traveling in a straight line is given by v (6t-3t2) m/s, where t is in seconds. Suppose that s 0 when t0. a. Determine the particle's deceleration when t3.6s b. Determine the particle's position when t 3.6 s C. How far has the particle traveled during the 3.6-s time interval? d. What is the average speed of the particle for the time period given in previous part?
A particle moves along the path r-8tH + (t3 + 5)j) m, where t s in seconds. Determine the magnitudes of the particle's velocity and acceleration whent-3 s.
Use this theorem to find the curvature. r(t) = 6t i + 8 sin(t) j + 8 cos(t) k
The speed of a point is v = 2 i + 3T2 j (ft / s ) . At t = 0 its position is r = -i + 2j (foot) . Finding r t = 2 s
11. The velocity of a particle is v)-(-2t) i+ (6t+2)jm/s What is the magnitude and direction of the acceleration of the particle at t 3 s?
7. [2 points] A particle is moving at a constant speed in a circular path centered at the origin on an xy coordinate system. At one point (x=4m, y=0), the particle has a velocity of 5ġ m/s. a. State whether the particle is moving clockwise or counter-clockwise on the circular track. b. What is the constant speed of the particle throughout its circular trajectory? c. What is the acceleration (expressed as a vector) of the particle when it is at...
parts a through e please with work.
A particle travels along the circular path x2 +y-r, when the time t = 0 the particle it's at-r meter and y =0 m. If the y components of the particle's velocity is Vy 2r cos2t, determine: (a) the x and y components of its acceleration at any instant. (b) Draw the trajectory with the vector velocity and acceleration at t = π/4 sec. (c) calculate the average vector velocity between 0 and...