What is the instantaneous velocity of an object

Shayla Massey

Shayla Massey

Answered question

2022-03-17

What is the instantaneous velocity of an object with position at time t equal to f(t)=(t28,tt2+3t4) at t=2?

Answer & Explanation

Ireland Huff

Ireland Huff

Beginner2022-03-18Added 3 answers

Explanation:
The position vector r=r(x,y)=(x(t).y(t))=(t28,tt2+3t4)=f(t).
So, the velocity vector v(t)=(x'(t), y'(t))
=f(t)=(2t,t(2t+3)2t2+3t4+t2+2t4)
So, v(2)=(4,76+6).

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