Two objects, $P\,$ and $Q$ , are dropped from rest from different heights above level ground.

$P\,$ is released from a height of $H\,$ metres.

$Q\,$ is released $T\,$ seconds after $P$ , from a height of $cH\,$ metres, where $0 < c < 1$ .

Both objects hit the ground exactly 4 seconds after $P\,$ was released. Air resistance is modelled as negligible.

Prove that $4\left(1 - \sqrt{c}\right)$ . Fully justify your answer.

Two objects, $P\,$ and $Q$ , are dropped from rest from different heights above level ground.

$P\,$ is released from a height of $H\,$ metres.

$Q\,$ is released $T\,$ seconds after $P$ , from a height of $cH\,$ metres, where $0 < c < 1$ .

Both objects hit the ground exactly 4 seconds after $P\,$ was released. Air resistance is modelled as negligible.

Prove that $4\left(1 - \sqrt{c}\right)$ . Fully justify your answer.

4 Unit A2 2: Applied Mathematics (A-level only)

4 Unit A2 2: Applied Mathematics (A-level only) Questions