In a pool at an aquarium, a dolphin jumps out of the water travelling at $20$ cm per second. Its height above water level after $t$ seconds is given by $h = 20t - 16t^2$.

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Based on the abov

Question

In a pool at an aquarium, a dolphin jumps out of the water travelling at $20$ cm per second. Its height above water level after $t$ seconds is given by $h = 20t - 16t^2$.

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Based on the above, answer the following questions:

(i) Find zeroes of polynomial $p(t) = 20t - 16t^2$.

Accepted Answer

Step 1: $-16t^2 + 20t = 0 \Rightarrow 4t(-4t + 5) = 0$
$t = 0$, $t = \frac{5}{4}$

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