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What is the tangential component of acceleration at time $t$ for an object whose position vector changes according to the function:

$${\bf r}(t)={\bf i} +t^2{\bf j}$$

A

$0$

B

$\cfrac{1}{4t}$

C

$2$

D

$\cfrac{1}{4t^2}$

E

$\cfrac{1}{2t}$

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