Question

6. A rocket initially at rest (Vo=0m/s) accelerates at 20 m/s2 over a distance of 3000m. What isthe resulting velocity?

Answer 1

Answer:

The resulting velocity = 346.41 m/s

Explanations:

The rocket is initially at rest

The initial speed, v₀ = 0 m/s

The acceleration, a = 20 m/s²

The distance covered, S = 3000m

To get the final velocity, use the equation of motion written below

$v^2=v^2_0\text{ + 2as}$

Substitute v₀ = 0 m/s, a = 20 m/s², and S = 3000m into the formula above

$\begin{gathered} v^2=0^2\text{ + 2(20)(3000)} \\ v^2\text{ = }120000 \\ v=\text{ }\sqrt[]{120000} \\ v\text{ = }346.41m/s^2 \end{gathered}$

The resulting velocity = 346.41 m/s