A particle moves along a line with velocity for

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

Problem

A particle moves along a line with velocity

v(t)=kt^{2}-6t+4

for

t\ge 0

. The particle is at the origin at both

t=0

and

t=4

. What is its position at

t=1

? (a)

\dfrac{17}{12}

(b)

\dfrac32

(c)

2

(d)

\dfrac76

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