Answer:
a) 4 s
b) 36 m/s²
c) 54 m
Explanation:
s = 2t³ – 24t + 6
a) Find t when v = 72 m/s.
v = ds/dt
v = 6t² – 24
72 = 6t² – 24
6t² = 96
t = 4
b) Find a when v = 30 m/s.
a = dv/dt
a = 12t
When v = 30:
30 = 6t² – 24
6t² = 54
t = 3
a = 36
c) Find Δs between t = 1 and t = 4
Δs = (2(4)³ – 24(4) + 6) – (2(1)³ – 24(1) + 6)
Δs = 38 – (-16)
Δs = 54
The escape velocity from the planet is 5052 m/s
Explanation:
The formula to calculate the escape velocity from a planet is:

where
is the gravitational constant
M is the mass of the planet
R is the radius of the planet
For Earth,
is the mass
is the radius
Here we have a planet that:
- its mass is 10.8% of that of Earth, so

- its radius is 53% of that of Earth, so

Substituting everything into the first equation, we find the escape velocity from this planet:

#LearnwithBrainly
Answer:
i Guess 1 or 3
Explanation:
yea 1 or 3 or just guess hard