Question

question 10 (1 point)
an airplane increases its speed from 100 m/s to 160 m/s, at the average rate of 15 m/s2. how much time does it take for the complete increase in speed?
17 s
0.058 s
4.0 s
0.25 s

Explanation:

Step1: Recall the acceleration formula

The formula for acceleration is \( a = \frac{v_f - v_i}{t} \), where \( a \) is acceleration, \( v_f \) is final velocity, \( v_i \) is initial velocity, and \( t \) is time. We need to solve for \( t \), so rearranging the formula gives \( t = \frac{v_f - v_i}{a} \).

Step2: Identify the given values

We know that \( v_i = 100 \, \text{m/s} \), \( v_f = 160 \, \text{m/s} \), and \( a = 15 \, \text{m/s}^2 \).

Step3: Substitute the values into the formula

Substitute the values into \( t = \frac{v_f - v_i}{a} \):
\( t = \frac{160 - 100}{15} \)

Step4: Calculate the result

First, calculate the numerator: \( 160 - 100 = 60 \). Then divide by the acceleration: \( t = \frac{60}{15} = 4.0 \, \text{s} \).

Answer:

4.0 s (corresponding to the option "4.0 s")