Odpowiedź:
t = 5 s
h(t) = 2t² + 4t³
-------------------------
h, a
h(5) = 2*5² + 4*5³ = 2*25 + 4*125 = 50 + 500 = 550 m
h = 550 m
h = at²/2
2h = at²
a = 2h/t² = 2*550m/(5m)² = 1100/25 m/s² = 44 m/s²
a = 44 m/s²
v = at = 44m/s²*5s = 220 m/s
v = 220 m/s