A car accelerates from rest to 95 km/h in 5 seconds, what is the average acceleration of the car in m/s2

The acceleration of an object is a magnitude that indicates how the speed of the object changes in a unit of time. That is, acceleration relates changes in velocity with the time in which they occur.

The expression for the calculation of the acceleration is:

[tex]acceleration=\frac{change of velocity}{time}[/tex]

In this case:

acceleration=?
change of velocity= final velocity - initial velocity= 95 km/h - 0 km/h (because the car accelerates from rest)= 95 km/h
time= 5 seconds

First, it is convenient to express the change in velocity in units of m/s, where 1 h = 3,600 s and 1 km = 1,000 m.

[tex]change of velocity= 95 \frac{km}{h} =95\frac{1,000 m}{3,600 s} =26.3889 \frac{m}{s}[/tex]

So, replacing in the definition of acceleration:

[tex]acceleration=\frac{26.3889\frac{m}{s} }{5 s}[/tex]

acceleration= 5.2778 [tex]\frac{m}{s^{2} }[/tex]

The average acceleration of the car is 5.2778 [tex]\frac{m}{s^{2} }[/tex]