<ol class="abc-list"><li data-list-item-id="item-a-2"><div class="list-item-paragraph">A ball is thrown vertically upwards. Its height \(h\) m, above the ground at time \(t\) seconds after being thrown is given by the formula \(h = 7 + 20t - 5t^2\).<br>Find the maximum height attained by the ball and the time at which this occurs.<span class="inline-marks">[4]</span></div></li><li data-list-item-id="item-b-2"><div class="list-item-content"><span class="list-item-text">Find the set of values of the constant \(k\) for which the curve \(y = x^2 + 6x + k\) lies entirely above the line \(y = k(x - 1)\).</span><span class="inline-marks">[4]</span></div></li></ol>

A ball is thrown vertically upwards. Its height \(h\) m, above the ground at time \(t\) seconds after being thrown is given by the formula \(h = 7 + 20t - 5t^2\).
Find the maximum height attained by the ball and the time at which this occurs.

Find the set of values of the constant \(k\) for which the curve \(y = x^2 + 6x + k\) lies entirely above the line \(y = k(x - 1)\).

2025 DSS PRELIMS P2 Q1

2025 DSS PRELIMS P2 Q1