A student rewrites as by replacing with

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Kinematics · Kinematics

Problem

A student rewrites

s = \dfrac{(u+v)t}{2}

as

s = ut + k\,a t^{2}

by replacing

v

with

(u+at)

. What is the value of

k

that makes the step correct? (a)

1

(b)

\dfrac{1}{2}

(c)

\dfrac{3}{2}

(d)

\dfrac{1}{4}

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