Further Kinematics

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Question 40

A particle moves in a straight line relative to an origin $O$ . The displacement, $s$ metres, of the particle from $O$ at time $t$ seconds is given by

s = p + 5t - ke^{-0.4t}

where $p$ and $k$ are constants. At time $t = 2$ , the acceleration of the particle is $s−2-2.4\text{ m s}^{-2}$ .

Show that $\approx 33.4$

[4]

Given that the particle has an initial displacement of 8 metres, find the value of $p$ . Give your answer to two significant figures.

[2]

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