a. 45 m
b. 6 detik
Penjelasan dengan langkah-langkah:
h(t) = 30t - 5t²
= -5t² + 30
a = -5, b = 30
a. sumbu simetri
t = -b/2a = -30/2.(-5)
= -30/-10
= 3
tinggi maksimum
h(3) = 30 x 3 - 5 x 3²
= 90 - 5 x 9
= 90 - 45
= 45 m
b. bola dalam tanah h(t) = 0
-5t² + 30t = 0
-5t(t - 6) = 0
-5t = 0 atau t - 6 = 0
t = 0/-5 t = 6
t = 0
t = 0 bola ketika blm ditendang, jadi
t yang memeuhi syarat t = 6
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a. 45 m
b. 6 detik
Penjelasan dengan langkah-langkah:
h(t) = 30t - 5t²
= -5t² + 30
a = -5, b = 30
a. sumbu simetri
t = -b/2a = -30/2.(-5)
= -30/-10
= 3
tinggi maksimum
h(3) = 30 x 3 - 5 x 3²
= 90 - 5 x 9
= 90 - 45
= 45 m
b. bola dalam tanah h(t) = 0
-5t² + 30t = 0
-5t(t - 6) = 0
-5t = 0 atau t - 6 = 0
t = 0/-5 t = 6
t = 0
t = 0 bola ketika blm ditendang, jadi
t yang memeuhi syarat t = 6
jawaban ada di lampiran