It will take the rocket 10 seconds to reach an altitude of 20,000 m ⇒ B
Step-by-step explanation:
The equation of distance is:
h = u t + [tex]\frac{1}{2}[/tex] a t², where
1. u is the initial speed
2. a is the acceleration
3. t is the time
A rocket accelerates straight up from rest with a constant acceleration
of 400 m/s²
We need to find how long it will take the rocket to reach an altitude of
20,000 meters
∵ The rocket starts from rest
∴ The initial speed u = 0 m/s
∵ The acceleration = 400 m/s²
∵ The altitude h = 20,000 meters
Substitute these values in the rule above
∴ 20,000 = (0) t + [tex]\frac{1}{2}[/tex] (400) t²
∴ 20,000 = 200 t²
- Divide both sides by 200
∴ 100 = t²
- Take √ for both sides
∴ t = 10 seconds
It will take the rocket 10 seconds to reach an altitude of 20,000 m
Learn more:
You can learn more about acceleration in brainly.com/question/1597065
#LearnwithBrainly
