Answer Happy

The van travels over the hill described by the given function. What is the velocity and acceleration of the van when x = 20 m. (18 points) a) What is the relationship between the path function, velocity, and acceleration? (1 point) b) Write an equation for the velocity in the y direction as a function of position and velocity in the x direction. (2 points) c) Write an equation for the velocity in the x direction as a function of position and total velocity. (3 points) d) If the van travels at a constant velocity of 50 m/s, what is the magnitude of velocity in the x and y direction when x = 20m. (3 points) At any point along the path, in what direction does the velocity vector point? (1 point) Write an equation for the acceleration in the y direction as a function of position, velocity, and acceleration. (2 points) g) What is the tangential acceleration of the van? (1 point) Given a radius of curvature of 55m, what is the normal acceleration? (2 points) What is the magnitude of the total acceleration? (2 points) j) In what direction does the acceleration vector point? (1 point) k) BONUS: How would you find the x and y components of acceleration? (1 point) e) f) 3 m y = [-0.0128x² + 8]m 25 m