Solving Parametric Equations: Speed at t=2s

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To find the speed of an object described by the parametric equations x=2cos(t) and y=2sin(t) at t=2 seconds, one must first compute the derivatives of both equations with respect to time. The derivatives provide the velocity components in the x and y directions. By applying the Pythagorean theorem, the overall speed can be calculated from these components. Understanding the definition of speed and its relation to distance and time is crucial for solving this problem. The solution involves both differentiation and trigonometric functions.
2x2lcallingcq
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Homework Statement



Parametric equations for the motion of an object are given, where x and y are measured in meters and t is in seconds. find the speed of the object in meters per second when t is 2 seconds.
x=2cost
y=2sinst
 
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2x2lcallingcq said:

Homework Statement



Parametric equations for the motion of an object are given, where x and y are measured in meters and t is in seconds. find the speed of the object in meters per second when t is 2 seconds.
x=2cost
y=2sinst

You need to show some effort to get help here. If you are completely stuck, I suggest you start by looking up the definition of speed.
 
t stands for time in seconds
x and y stand for distances

so to calculate the speed you need get the derrivative equations of f(t,x) and f(t,y)
then you will be able to find the speed in both the x and y directions and use the pythagoras theorem to find the speed of the object.
 

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