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(Solved): help pls draw where the a and the v should be A car drives on a curved road that goes down a hill. ...



help pls
A car drives on a curved road that goes down a hill. The cars position is defined by the position vector, \( \mathbf{r}=\lef

draw where the a and the v should be
Learning Goal:
To be able to calculate position, velocity, and acceleration of an object in curvilinear motion using a rectan
\[
\mathbf{r}=x \mathbf{i}+y \mathbf{j}+z \mathbf{k}
\]
The objects velocity, \( \mathbf{v} \), can be found by taking the f
The objects acceleration, \( \mathbf{a} \), can be found by taking the time derivative of the velocity, \( \mathbf{v} \) :
\
A car drives on a curved road that goes down a hill. The car's position is defined by the position vector, where . The image below shows the system projected onto the plane. What are the car's velocity and acceleration vectors at this position? Draw your vectors starting at the black dot. The orientation of your vectors will be graded. The exact length of your vectors will not be graded and the trigonometric function arguments are in radians. View Available Hint(s) Learning Goal: 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 coordinate system. In such a system, the position vector, , is described as The object's velocity, , can be found by taking the first time derivative of the position vector, r: The object's acceleration, a, can be found by taking the time derivative of the velocity, : The object's acceleration, , can be found by taking the time derivative of the velocity, :


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according to question the position vector that defines the car's position is:-r?={?[30.0cos?(?10.0t)]i^+[30.0sin?(?10.0t)]j^?(Azt)k^}………..(1)
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