<p>A tank is firing rounds during a target practice. The height, \(h\) metres, of a projectile above the ground during flight is governed by the equation \(h=2+\frac{4}{5}t-\frac{1}{250}t^2\), where&nbsp;\(t\) is the time in seconds for the projectile in flight.</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">Express \(h\) in the form \(a+b(t-c)^2\), where&nbsp;\(a\), \(b\) and \(c\) are constants to be determined.</span><span class="inline-marks">[2]</span></div></li><li><div class="list-item-content"><span class="list-item-text">Hence state the maximum height attained by the projectile and the time at which this occurs.</span><span class="inline-marks">[2]</span></div></li><li><div class="list-item-content"><span class="list-item-text">Find the length of time for which the height of the projectile is at least \(32\) metres above the ground.</span><span class="inline-marks">[3]</span></div></li></ol>

A tank is firing rounds during a target practice. The height, \(h\) metres, of a projectile above the ground during flight is governed by the equation \(h=2+\frac{4}{5}t-\frac{1}{250}t^2\), where \(t\) is the time in seconds for the projectile in flight.

Express \(h\) in the form \(a+b(t-c)^2\), where \(a\), \(b\) and \(c\) are constants to be determined.

Hence state the maximum height attained by the projectile and the time at which this occurs.

Find the length of time for which the height of the projectile is at least \(32\) metres above the ground.

2025 SCGS PRELIMS P2 Q4

2025 SCGS PRELIMS P2 Q4