?

AP® Calculus AB-BC

Free Version

Upgrade subject to access all content

Easy

Slope of a Tangent to a Parametric Curve

APCALC-HJNSJL

A particle moves along the path in the xy-plane according to $x( t ) =2\sin { ( 5t ) } $ and $y( t ) ={ -3t }^{ 2 }+4t-1$.

Find the slope of the line tangent to the curve at $t=0$.

A

$\cfrac{2}{5}$

B

$-\cfrac{2}{5}$

C

$2$

D

$-2$

E

$-\cfrac{3}{5}$