pinka1hf

2022-03-15

What is the instantaneous velocity of an object moving in accordance to $f\left(t\right)=({e}^{{t}^{2}},2t-t{e}^{t})$ at t=-1?

Heidy David

Beginner2022-03-16Added 5 answers

Explanation:

The law f(t) is the position of the object at the time t.

To find the instantaleous velocity we have to find the derivative of the previous law.

${f}^{\prime}\left(t\right)=(2t{e}^{{t}^{2}},2-{e}^{t}-t{e}^{t})$

and so:

${f}^{\prime}(-1)=(-2e,2-\frac{1}{e}+\frac{1}{e})=(-2e,2)$ .

The law f(t) is the position of the object at the time t.

To find the instantaleous velocity we have to find the derivative of the previous law.

and so:

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