Chapter 2.3, Problem 22PP

To determine

the acceleration of an airplane.

Answer to Problem 22PP

The acceleration of the airplane is $\boxed{a=4{\text{m/s}}^{\text{2}}}$ .

Explanation of Solution

Given:

Time taken by the airplane in a runway is $t=20\text{s}$ .

Final velocity is $v=80\text{m/s}$ .

Initial velocity is $u=0\text{m/s}$ .

Formula used:

The equation for the final velocity of the airplane is

  $v=u+at$....................(1)

Here, $u,a,t$ and $v$ are initial velocity, acceleration, time and final velocity.

Calculation:

Rearrange the equation (1),

  $a=\frac{v-u}{t}$....................(2)

Substitute $80\text{m/s}$ for $v$ , $0\text{m/s}$ for $u$ and 20 s for $t$ in equation (2)

  $\begin{array}{l}a=\frac{\left(80-0\right)\text{m/s}}{2\text{0}\text{s}}\\ \boxed{a=4{\text{m/s}}^{\text{2}}}\end{array}$

Conclusion:

Hence, the acceleration of the airplane is $\boxed{a=4{\text{m/s}}^{\text{2}}}$ .