Final answer:
To find the acceleration of the rocket sled, we converted the initial speed to m/s and applied the formula for acceleration, revealing a value of 252.53 m/s², which suggests there is an error in the provided options.
Step-by-step explanation:
To calculate the acceleration opposite to the motion of the rocket sled, we need to convert the initial speed from km/h to m/s and use the formula a = Δv / Δt, where a is acceleration, Δv is the change in velocity, and Δt is the change in time.
First, let's convert the speed from 1000.0 km/h to meters per second:
- 1000 km/h =
1000 × (1000 m/km) / (3600 s/h) = 277.78 m/s
Since the sled comes to rest, the final velocity is 0 m/s, so the change in velocity (Δv) is -277.78 m/s (negative because it's deceleration or opposite to the motion).
The change in time (Δt) is 1.10 s, so the acceleration is calculated as follows:
a = Δv / Δt = -277.78 m/s / 1.10 s = -252.53 m/s²
The negative sign indicates the direction of acceleration is opposite to the motion. The magnitude of the acceleration is 252.53 m/s².
To find the correct option, it appears there is an error in the question since none of the given options match the calculated acceleration. The acceleration much exceeds all given options.