Chapter 3.2, Problem 38SSC

To determine

To calculate: The final velocity attained by the airplane.

Answer to Problem 38SSC

  $70\text{m/s}$

Explanation of Solution

Given:

The airplane accelerates from rest at a uniform acceleration of $5.0{\text{m/s}}^{\text{2}}$ for 14s.

Formula used:

Final velocity with constant acceleration is given by,

  $v_{final}=v_{initial}+a\Delta t$

Where, $\Delta t$ is the time taken, a is acceleration and v represents velocity.

Calculation:

Use the given values of acceleration, initial velocity and the time in above formula, the final velocity will be:

  $\begin{array}{c}{v}_{final}=v_{initial}+a\Delta t\\ =0+\left(5\right)\left(14\right)\\ =70\text{m/s}\end{array}$

Conclusion:

Thus, the final velocity of the airplane is $70\text{m/s}$ .