28.7k views
5 votes
What is the acceleration opposite to the motion of the rocket sled if it comes to rest in 1.10 s from a speed of 1000.0 km/h?

a) 8.69 m/s²
b) 7.52 m/s²
c) 9.41 m/s²
d) 6.84 m/s²

1 Answer

3 votes

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.

User Dmc
by
8.5k points