A rocket is taking off. Its initial velocity is 0m / s0m / s, and after 3535 seconds it is moving at 8000m / s8000m / s. Calculate the rocket's acceleration: 𝑎=𝑣−𝑢(Δ𝑡)a= (Δt)v−u Make sure to include appropriate units in your answer. Round your answer to two significant figures.
Question
A rocket is taking off. Its initial velocity is 0m / s0m / s, and after 3535 seconds it is moving at 8000m / s8000m / s. Calculate the rocket's acceleration: 𝑎=𝑣−𝑢(Δ𝑡)a= (Δt)v−u Make sure to include appropriate units in your answer. Round your answer to two significant figures.
Solution
To calculate the rocket's acceleration, we will use the formula for acceleration which is:
a = (v - u) / Δt
where:
- a is acceleration
- v is final velocity
- u is initial velocity
- Δt is the change in time
Given in the problem:
- v = 8000 m/s
- u = 0 m/s
- Δt = 35 s
Substitute these values into the formula:
a = (8000 m/s - 0 m/s) / 35 s
a = 8000 m/s / 35 s
a = 228.57 m/s²
So, the rocket's acceleration is approximately 228.57 m/s². This is rounded to two significant figures, so the final answer is 230 m/s².
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