A test track for automobiles has a portion with a specific profile described by y=h (1-cos( S ( =)) where h= 0.20 m and w= 2 m, and where the argument of the cosine function is understood to be in radians. A car travels in the positive x direction with a constant x component of velocity equal to 100 km/h. Modeling the car as a point moving along the given profile, determine the velocity and acceleration (expressed in m/s and m/s2, respectively) of the car for x = 25 m. (Round the final answers to four decimal places. Include a minus sign if necessary.) y Ĵ The velocity of the car is ( 3) m/s.

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Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.