Question

patricia is piloting an airplane * 1 point that increases its speed at the average rate of $15\\ \text{m/s}^2$. how much time does it take for her to increase the speed from 100 m/s to 160 m/s?
0.058 s
0.25 s
4.0 s
17.0 s

Explanation:

Step1: Recall acceleration formula

Acceleration $a = \frac{v_f - v_i}{t}$, rearrange to $t = \frac{v_f - v_i}{a}$

Step2: Identify given values

$v_f = 160\ \text{m/s}$, $v_i = 100\ \text{m/s}$, $a = 15\ \text{m/s}^2$

Step3: Calculate speed change

$\Delta v = v_f - v_i = 160 - 100 = 60\ \text{m/s}$

Step4: Solve for time

$t = \frac{60}{15} = 4.0\ \text{s}$

Answer:

C. 4.0 s