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a car drove for 5 seconds and its velocity was recorded in the data table below.
use the formula to calculate the cars acceleration.
acceleration $(a)=\frac{\text { final velocity }\left(v_{f}\
ight)-\text { initial velocity }\left(v_{i}\
ight)}{\text { total time }(t)}$
Step1: Identify values from the table
From the table, the final velocity \(v_f = 33.6\ m/s\), the initial velocity \(v_i=2.2\ m/s\), and the total time \(t = 5\ s\).
Step2: Substitute values into the acceleration formula
The formula for acceleration is \(a=\frac{v_f - v_i}{t}\). Substituting the values: \(a=\frac{33.6 - 2.2}{5}\).
Step3: Calculate the numerator
First, calculate \(33.6-2.2 = 31.4\).
Step4: Calculate the acceleration
Then, \(a=\frac{31.4}{5}=6.28\ m/s^{2}\).
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\(6.28\ m/s^{2}\)