Answer:
The acceleration is 1.0416 m/[tex]s^{2}[/tex]
Step-by-step explanation:
In order to solve this problem we first need to know the formula for acceleration which is the following.
[tex]acceleration = \frac{final.velocity - initial.velocity}{final.time - initial.time}[/tex]
Since the time acceleration is calculated as [tex]m/s^{2}[/tex] we need to convert the km/h into m/s. Since 1km = 1000m and 1 hour = 3600 seconds, then
[tex]\frac{20*1000 }{3600s} = \frac{20,000m}{3600s} = \frac{20m}{3.6s}[/tex]
**Dividing numerator and denominator by 1000 to simplify**
[tex]\frac{65*1000 }{3600s} = \frac{65,000m}{3600s} = \frac{65m}{3.6s}[/tex]
**Dividing numerator and denominator by 1000 to simplify**
Now we can plug in the values into the acceleration formula to calculate the acceleration.
[tex]acceleration = \frac{\frac{65m}{3.6s}-\frac{20m}{3.6s} }{12s-0s}[/tex]
[tex]acceleration = \frac{\frac{45m}{3.6s}}{12s}[/tex]
[tex]acceleration = \frac{\frac{12.5m}{s}}{12s}[/tex]
[tex]acceleration = \frac{\frac{1.0416m}{s}}{s}[/tex]
Finally we can see that the acceleration is 1.0416 m/[tex]s^{2}[/tex]
