• For a short time, the path of the plane in the figure is described by y = (0.001x^2) m. If the plane is rising with a constant velocity of 10 m/s, determine the magnitudes of the velocity and acceleration of the plane when it is at y = 100 m.

A particle moves along a straight line such that its position is defined by s= (t 2 - 6t + 5) m. Determine the average velocity of the particle when t = 6 s

A particle P moves along the spiral path r = (10/θ) ft, where θ is in radians. If it maintains a constantspeed of v = 10 ft/s, determine the magnitudes vr and vθ as functions of θ and evaluate each at θ = 1 rad.

The particle travels along the path defined by the parabola y = 0.5x², where x and y are in ft. When t = 0, x = 0, y = 0. (Figure 1) Figure -y = 0.5x² 1 of 1 Part A If the component of velocity along the x axis is vx = (7t) ft/s, where t is in seconds, determine the particle's distance from the origin O when t = 3 s. Express your answer using three significant figures and include the appropriate units. ► View Available Hint(s) Submit Part B a = 0 Value μÁ Submit Determine the magnitude of the particle's acceleration when t = 3 s. Express your answer using three significant figures and include the appropriate units. ► View Available Hint(s) 8 Value Provide Feedback Units μà ? Units Review ? Next >

The 28000-1b airplane is flying in the vertical plane at 390 ft/s. At the instant shown, the angle = 30°, and the cartesian components of the plane's acceleration are a = -5 ft/s², ay = 25 ft/s². Figure < 1 of 1 Part A What are the tangential and normal components of the total force acting on the airplane (including its weight)? Enter your answers numerically separated by a comma. Ft, Fn = Submit Part B * Incorrect; Try Again; 4 attempts remaining ■AΣ vec de/dt = Previous Answers Request Answer What is de/dt in degrees per second? (Figure 1) Submit VAZ † vec Request Answer ? ? lb °/s

PROBLEM NO. 4 A particle travels along a path described by the parabola, y = 0.5x². The x-component of velocity is given by, vx = (7t)ft/s. When t = 0,x=y= 0. Find the particle's distance from the origin and the magnitude of its acceleration when, t = 1s.

The tank of water in the figure accelerates uniformly by freely rolling down a 30-degree incline. If the wheels are frictionless, what is the angle theta, Θ?