A golfer hits a ball such that the height, $h$ metres, of the ball above the ground $t$ seconds

Question

A golfer hits a ball such that the height, $h$ metres, of the ball above the ground $t$ seconds later is given by $h = 0.2t(40 - t)$. By expressing the function in the form $h = a(t - m)^2 + n$, where $a$, $m$ and $n$ are constants, explain whether the ball can reach a height of $100$ metres.[2] Find the range of values of $t$ for which the ball is at most $75$ metres above the ground.[4]

Accepted Answer

(a) $a = -0.2$, $m = 20$, $n = 80$; cannot reach 100 m; (b) $0 \leq t \leq 15$ s, $25 \leq t \leq 40$ s

2023 Ahmad Ibrahim Sec AM S3 EOY Q4

2023 Ahmad Ibrahim Sec AM S3 EOY Q4

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