Final answer:
The acceleration of a rocket that increases its speed to 9999 m/s in 99 seconds is 101.01 m/s², assuming it starts from rest.
Step-by-step explanation:
If a rocket accelerates at a speed of 9999 m/s in 99 seconds, the acceleration can be calculated using the formula for acceleration:
a = Δv / Δt
Where:
- a is the acceleration,
- Δv is the change in velocity (final velocity - initial velocity),
- Δt is the change in time.
In this case, if we assume the rocket starts from rest (initial velocity of 0 m/s), the change in velocity is equal to the final velocity, which is 9999 m/s. The change in time is 99 seconds. Therefore, the acceleration is calculated as follows:
a = 9999 m/s / 99 s
a = 101.01 m/s²
The acceleration of the rocket is 101.01 m/s².