Question

1. a soccer ball is slowly being kicked across a flat field. based on the data provided, what is the average acceleration? assume that at t = 0 minutes, the soccer ball is at rest.

t (min)	v (m/s)
2	5.50
3	5.75
4	5.60
5	5.62

0.0234 m/s²
0.00263 m/s²
0.0187 m/s²
0.00210 m/s²
clear all

Explanation:

Step1: Convert time to seconds

$t_1 = 1\times60 = 60\ s$, $t_2 = 2\times60 = 120\ s$, $t_3 = 3\times60 = 180\ s$, $t_4 = 4\times60 = 240\ s$, $t_5 = 5\times60 = 300\ s$

Step2: Use acceleration formula $a=\frac{\Delta v}{\Delta t}$

Average acceleration $a=\frac{v_f - v_i}{t_f - t_i}$. Here $v_i = 0$ (starts at rest), $v_f=5.62\ m/s$, $t_f = 300\ s$, $t_i = 0\ s$. So $a=\frac{5.62 - 0}{300-0}=\frac{5.62}{300}\approx0.00210\ m/s²$

Answer:

0.00210 m/s²