What is the instantaneous velocity of an object

Max Grant

Max Grant

Answered question

2022-03-17

What is the instantaneous velocity of an object moving in accordance to f(t)=(sint,cost3) at t=π2?

Answer & Explanation

danomangli

danomangli

Beginner2022-03-18Added 3 answers

{ x = cos t y = 3 t 2 sin t 3

For t=π2:

{ x = 0 y = 3 π 2 4 sin ( π 3 8 )

So the instantaneous velocity is directed along the y-axis:
v=3π24sin(π38)iy

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