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A particle describes the path y = 4x^2 with constant speed v, where x and y are in meters. What is the normal component of the acceleration?
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- A particle moves along the x-axis according to the equation x = 2.00 +3.00t -1.00t^2, where x is in meters and t is in seconds. At t = 3.00s , find the acceleration of the particle.A rock is At t = 0, a particle leaves the origin with a velocity of 12 m/s in the positive x direction and moves in the xy plane with a constant acceleration of (–2i + 4j) m/s2. At the instant the y coordinate of the particle is 18 m, what is the x coordinate of the particle?An atom is constrained to move along the horizontal axis only. At time t = 0.5 s, the atom is at x = 0.06 m. At time t = 2.8 s, the atom is at x = 0.46 m. What is the atom's average velocity?
- At one instant, a bicyclist is 50 m due east of a park's flagpole, going due south with a speed of 18 m/s. Then, 13 s later, the cyclist is 45 m due north of the flagpole, going due east with a speed of 13 m/s. For the cyclist in this 13 s interval, what is the displacement (m) and direction north of west, average velocity (m/s) and direction north of west and the average acceleration and direction north of east?A particle moves along a curve whose parametric equations are: x=e^(-t), y=2cos(3t) and Z=2sin(3t) Determine: velocity and acceleration as a function of timeat t=0, a particle leaves the origin with a velocity of 12m/s in the positive x-direction and moves in the xy plane with a constant acceleration of (-2.0i + 4.0j)m/s2. at the instant the y coordinate is 18m, what is the x coordinate of the particle?