To be
able to calculate position, velocity, and acceleration of an object in
curvilinear motion using a rectangular coordinate system.
An object's motion can be described along a path represented by a fixed x, y,
z coordinate system. In such a system, the position vector,
A car drives on a curved road that goes down a hill. The car's position is defined by the position vector,
r={−[30.0cos(π10.0t)]i+[30.0sin(π10.0t)]j−(Azt)k} ft
where Az=25.0ft/s . The image below shows the system projected onto the x–y plane. What are the car's velocity and acceleration vectors at this position?
What is the magnitude, v , of the car's velocity, v , at t = 5.00 s ?
What is the magnitude, a , of the car's acceleration, a , at t = 5.00 s ?
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