A tank is firing rounds during a target practice. The height, $h$ metres, of a projectile above th

Question

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.[2] Hence state the maximum height attained by the projectile and the time at which this occurs.[2] Find the length of time for which the height of the projectile is at least $32$ metres above the ground.[3]

Accepted Answer

(a) $h=42-\frac{1}{250}(t-100)^2$ (b) $42\text{ m}$ at $t=100\text{ s}$ (c) $100\text{ s}$

2025 SCGS PRELIMS P2 Q4

2025 SCGS PRELIMS P2 Q4

Solution:

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