The function models the position (in meters) of a particle moving along a line at…

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The function

h(t)=t e^{2t}

models the position (in meters) of a particle moving along a line at time

t

seconds. Determine the equation of the tangent line to the graph of

h

t=0

. (a)

y=0

(b)

y=t

(c)

y=2t

(d)

y=t+1