(a) Find the displacements for each section of time interval. (b) Plot a position-versus-time graph for this motion. Your plot should extend from t=0 to t=7.5 minutes. (c) Calculate the average velocity between t=0 and t=7.5 minutes.

An Australian magpie (Gymnorhina tibicen) flies 53 m south and then 47 m west, in a total time of 35 minutes. What is its displacement from the starting position? Enter only the numerical part of your answer (in m) to the nearest integer.

Problems 1 through 3, treat the motion of a particle which moves along the s-axis shown in the figure. 0 1 2 3 +s, ft or m 1. The acceleration of a particle is given by a = 2t - 10, where a is in meters per second squared and t is in seconds. Determine the velocity and displacement as functions of time. The initial displacement at t = 0 is so = -4 m, and the initial velocity is vo= 3 m/s. (5 points) 2. The acceleration of a particle is given by a = -ks² where a is in meters per second squared, k is a constant, and s is in meters. Determine the velocity of the particle as a function of its position s. Evaluate your expression for s = 5 m ifk = 0.1 m¹s2 and the initial conditions at time t = 0 are so= 3 m and vo= 10 m/s. (5 points) 3. The acceleration of a particle which is moving along a straight line is given by a = -k√√v, where a is in meters per second squared, k is a constant, and v is the velocity in meters per second. Determine the velocity as a function of both time t and…

An article explains that the locomotion of different-sized animals can be compared when they have the same Froude number, defined as F = gl velocity, g is the acceleration due to gravity (9.81 m/sec2) and I is the animal's leg length. (a) Different animals change from a trot to a gallop at the same Froude number, roughly 2.56. Find the velocity at which this change occurs for an animal with a leg length of 1.12 m. (b) Ancient footprints of a dinosaur are roughly 1.4 m in diameter, corresponding to a leg length of roughly 5.6 m. By comparing the stride divided by the leg length with that of various modern creatures, it can be determined that the Froude number for this dinosaur is roughly 0.025. How fast was the dinosaur traveling? (a) The velocity at which this animal changes change from a trot to a gallop is (Round to the nearest tenth as needed.) where v is the animal's (...) m/sec.