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No. 10
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Diket :
Pers. Percepatan, a = t + t² - t³
saat awal, t = 0 → ro = 3 m

Tanya :
saat t = 10 sec, Posisi, r = __?

Jawab :

Step 1
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V = ∫.a.dt
V = ∫ (t + t² - t³). dt
V = 1/2.t² + 1/3.t³ - 1/4.t⁴

Step 2
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Jarak posisi,
r = ro + ∫ V .dt
r = 3 + ∫ (1/2.t² + 1/3.t³ - 1/4.t⁴) .dt
r = 3 + 1/6.t³ + 1/12.t⁴ - 1/20.t⁵

maka saat t = 10 sec adalah 

r = 3 + 1/6.t³ + 1/12.t⁴ - 1/20.t⁵
r = 3 + 1/6.(10)³ + 1/12.(10)⁴ - 1/20.(10)⁵
r = 3 + 1000/6 + 10000/12 + 100000/20
r = 3 + 166,67 + 833,34 + 5000
r = 6003,01 meter

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