A particle moves with velocity for

MATHEMATICS · Single correct · A Level · Mathematics · Kinematics · Kinematics

Problem

A particle moves with velocity

v(t)=3t^{2}+2k

for

t\ge 0

. Its position satisfies

s(0)=2

and

s(2)=18

. What is the value of the constant

k

? (a)

k=-2

(b)

k=\dfrac{5}{2}

(c)

k=2

(d)

k=4

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