Answer:
Step-by-step explanation:
Given:
a₁ = 15.5 m/s²
t₁ = 3.50 s
a₂ = -5.65 m/s²
v₂(t=3.5) = a₁t₁
= 15.5 × 3.5
= 54.25 m/s
v₃(rocket stop) = 0
v₂ + a₂t₂ = 0
54.25 + (-5.65)t₂ = 0
t₂ = 54.25 ÷ 5.65
= 9.60 s
s = s(0 ≤ t ≤ 3.5) + s(3.5 ≤ t ≤ 9.60)
= v₀t₁ +
a₁t₁² + v₂t₂ +
a₂t₂²
= 0 +
(15.5)(3.5)² + (54.25)(9.60) +
(-5.65)(9.60)²
= 94.9375 + 520.8 - 260.352
= 355.39 m