Question

a student driver is having trouble maintaining constant pressure on the pedals and is driving a very \jerky\ manner. arrange the following instances of acceleration from greatest to least in terms of change in velocity. each change in velocity happens over a 1 second period of time.
from 10 mph to 20 mph
from 5 mph to 20 mph
from 5 mph to 10 mph
from 39 mph to 40 mph

Explanation:

Step1: Calculate acceleration for each case

Acceleration formula: $a = \frac{\Delta v}{t}$, where $\Delta v = v_f - v_i$, $t=1$ sec.

1. $a_1 = \frac{20-10}{1} = 10$ mph/s
2. $a_2 = \frac{20-5}{1} = 15$ mph/s
3. $a_3 = \frac{10-5}{1} = 5$ mph/s
4. $a_4 = \frac{40-39}{1} = 1$ mph/s

Step2: Sort accelerations descending

Order from greatest to least: $15 > 10 > 5 > 1$

Answer:

1. From 5 mph to 20 mph
2. From 10 mph to 20 mph
3. From 5 mph to 10 mph
4. From 39 mph to 40 mph