Answer:
v = 6t² + t + 2, s = 2t³ + ½ t² + 2t
59 m/s, 64.5 m
Explanation:
a = 12t + 1
v = ∫ a dt
v = 6t² + t + C
At t = 0, v = 2.
2 = 6(0)² + (0) + C
2 = C
Therefore, v = 6t² + t + 2.
s = ∫ v dt
s = 2t³ + ½ t² + 2t + C
At t = 0, s = 0.
0 = 2(0)³ + ½ (0)² + 2(0) + C
0 = C
Therefore, s = 2t³ + ½ t² + 2t.
At t = 3:
v = 6(3)² + (3) + 2 = 59
s = 2(3)³ + ½ (3)² + 2(3) = 64.5
Answer:
≈ 0.144 m
Explanation:
Density is mass divided by volume:
D = M / V
Solving for volume:
V = M / D
Given M = 1.2 kg and D = 400 kg/m³:
V = 1.2 kg / (400 kg/m³)
V = 0.003 m³
Volume of a cube is the side length cubed:
V = s³
Therefore:
s³ = 0.003 m³
s ≈ 0.144 m
Round as needed.
Answer:
Formula for constant-speed = Total distance / Total time taken
Explanation:
Theres 82 protons, 82 electrona and 125 neutrons . hope this helped