Given: x ( t ) = 3 s i n ( t ) &#x2212;<!-- - --> 3 , y ( t )

Dayanara Terry 2022-07-15 Answered
Given: x ( t ) = 3 s i n ( t ) 3 , y ( t ) = t 1 for 0 is less than or equal to t is less than or equal to 2pi.
How do you find the position of the particle at t = 3?
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Answers (1)

potamanixv
Answered 2022-07-16 Author has 15 answers
Step 1
We have x and y parameterised in terms of t. We simply sub t = 3 into these expressions for x and y to obtain the position:
x ( 3 ) = 3 sin ( 3 ) - 3 = - 2.577
Step 2
y ( 3 ) = 3 - 1 = 2
Position is ( - 2.6 , 2.0 )
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