Answer:
3.5 m/s
Explanation:
To find the velocity of the body, we can use the Impulse-Momentum theorem. We can plug in all the information given in the question into the equation to solve for the velocity.
[tex]\section*{Impulse-Momentum Theorem:}\fbox{ \parbox{\textwidth}{ \[ J = \Delta p \quad \text{or} \quad F \times t = m \times \Delta v \] \begin{itemize} \item \( J \) = Impulse (N$\cdot$s) \item \( \Delta p \) = Change in momentum (kg$\cdot$m/s) \item \( F \) = Force (N) \item \( t \) = Time duration (s) \item \( m \) = Mass (kg) \item \( \Delta v \) = Change in velocity (m/s) \end{itemize} }}[/tex]
Solving:
[tex]\[\boxed{\Delta p = m \times \Delta v}\][/tex]
[tex]\\\section*{}\[J = \Delta p\]\[F \times t = m \times v\][/tex]
[tex]\section*{}\\\[3,500 \, \text{N} \times 0.02 \, \text{s} = 20 \, \text{kg} \times v\]\[70 \, \text{N} \cdot \text{s} = 20 \, \text{kg} \times v\]\[v = \frac{70 \, \text{N} \cdot \text{s}}{20 \, \text{kg}}\]\[\boxed{v = 3.5 \, \text{m/s}}\][/tex]
Therefore, the velocity of the body is 3.5 m/s.