24 The position of an object is given by the equation

PHYSICS · Single correct · AP · Physics C: Mechanics · Kinematics · Kinematics

Problem

x=3.0 t^{2}+1.5 t+4.5

, where

x

is in meters and

t

is in seconds. What is the instantaneous acceleration of the object at

\mathrm{t}=3.0 \mathrm{~s}

? (A)

3.0 \mathrm{~m} / \mathrm{s}^{2}

(B)

6.0 \mathrm{~m} / \mathrm{s}^{2}

(C)

9.0 \mathrm{~m} / \mathrm{s}^{2}

(D)

19.5 \mathrm{~m} / \mathrm{s}^{2}

(E)

36 \mathrm{~m} / \mathrm{s}^{2}