Given: x ( t ) = 3 s i n ( t ) − 3...

Zion Wheeler

Zion Wheeler

Answered

2022-07-01

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 speed of the particle at t = 3?

Answer & Explanation

Donavan Mack

Donavan Mack

Expert

2022-07-02Added 24 answers

Step 1
r ( t ) = ( x ( t ) y ( t ) ) = ( 3 sin t - 3 t - 1 )      t [ 0 , 2 π ]
v = r ( t ) = ( x ( t ) y ( t ) ) = ( 3 cos t 1 )
Step 2
speed, s . = v v
= ( 3 cos t 1 ) ( 3 cos t 1 )
= 9 cos 2 t + 1
s . t = 3 = 9 cos 2 ( 3 ) + 1

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