To determine the time it takes for the rocket to reach a velocity of 400 m/s, we can use the following equation of motion:
v = u + at
Where:
- v is the final velocity (400 m/s)
- u is the initial velocity (0 m/s, assuming the rocket starts from rest)
- a is the acceleration (20 m/s^2)
- t is the time
Rearranging the equation to solve for time (t):
t = (v - u) / a
Substituting the given values:
t = (400 - 0) / 20 t = 400 / 20 t = 20 seconds
Therefore, it takes the rocket 20 seconds to reach a velocity of 400 m/s.