Jawaban dari "A Hawk Drops Its Prey From A Certain Height Above The Ground. The Height, H Metres, Of The Prey Can..." - Jawaban Soal 100

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A Hawk Drops Its Prey From A Certain Height Above The Ground. The Height, H Metres, Of The Prey Can Be Modelled By H = 20 - 4t - 3t², Where T Is The Time In Seconds After It Is Dropped By The Hawk.

(i) At What Height Above The Ground Does The Hawk Drop Its Prey?

(ii) After How Many Seconds Will The Prey Fall Onto The Ground?

Jawaban: #1:

Penjelasan dengan langkah-langkah:

h = 20 - 4t - 3t²

(i) the height that the hawk drops its prey

t = 0

h = 20-4(0) -3(0)²

= 20-0-0

= 20 m

(ii) the prey will fall onto the ground

h =0

20 -4t -3t² = 0

20 -10t +6t -3t² =0

10(2-t) +3t(2-t) = 0

(10+3t) (2-t) = 0

t = -10/3 or t = 2

the answer is t = 2 seconds

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