What is the instantaneous velocity of an object

kinkonillohup

kinkonillohup

Answered question

2022-03-14

What is the instantaneous velocity of an object moving in accordance to f(t)=(sin2t,cos3t) at t=π12?

Answer & Explanation

Evandassy8yp

Evandassy8yp

Beginner2022-03-15Added 3 answers

(sint)=cost
(cost)=sint
The velocity is the derivative of the position
f(t)=(sin2t,cos3t)
v(t)=f(t)=(2sintcost,3sin3t)
Therefore, when t=112π
v(112π)=(2sin(112π)cos(112π),3sin(312π))
=(0.5, -2.12)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?