Aem 264 - Dynamics Final Exam Questions

In curvilinear motion, the direction of instantaneous acceleration is always {Ans: tangent to the hodograph}The downward acceleration of an object in free-flight motion is {Ans: 9.81 m/s^2}In curvilinear motion the direction of the instantaneous velocity is always {Ans: tangent to the path}The path of a particle is defined by y=0.5x^2. If the component of its velocity along the x-axis at x = 2 m is vx = 1 m/s, its velocity component along the y-axis at this position is {Ans: 2 m/s}If r dot is zero for a particle, the particle is {Ans: moving in a circular path}If the position of a particle is defined by r = [(1.5t^2+1)i + (4t-1)j] (m), its speed at t=1 s is {Ans: 5 m/s}The position of a particle is given as r = (4t^2 i - 2x j) m. Determine the particle's acceleration. {Ans: (8i - 16j) m/s^2}If a particle moves in a circular path with constant velocity, its radial acceleration is {Ans: -rthetadot^2}If a particle has moved from A to B along the circular path in 4s, what is the average velocity of the particle? (semi circle where r = 5m) {Ans: 2.5