What is the instantaneous velocity of an object

Neveah Stewart

Neveah Stewart

Answered question

2022-03-17

What is the instantaneous velocity of an object moving in accordance to f(t)=(t3t23,e2t) at t=6?

Answer & Explanation

Jamiya Shah

Jamiya Shah

Beginner2022-03-18Added 2 answers

Explanation:
Find f'(t) component-by-component:
f(t)=(ddt(t3t23),ddt(e2t))
f(t)=(3t22t,2e2t)
Find f'(6) by direct substitution:
f(6)=(3(36)12,2e12)=(96,2e12)

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