Answer:
20.96 m/s is the final speed.
Step-by-step explanation:
Given that:
Initial speed of the car = 8 m/s
Acceleration of the car = 1.8 m/[tex]s ^{2}[/tex]
Time for which the car accelerates = 7.2 seconds
To find:
The speed of car after accelerating for 7.2 seconds at an acceleration of 1.8 m/[tex]s ^{2}[/tex] = ?
Solution:
First of all, let us have a look the formula given for the final velocity of an object with given initial speed, acceleration and time:
[tex]v=u+at[/tex]
Where [tex]v[/tex] is the final speed of object
[tex]u[/tex] is the initial speed of an object
[tex]a[/tex] is the acceleration of object and
[tex]t[/tex] is the time
Here, [tex]u = 8\ m/s[/tex]
[tex]a = 1.8\ m/s^{2}[/tex] and
[tex]t = 7.2\ seconds[/tex]
To find:
[tex]v = ?[/tex]
Let us put all the given values in the formula:
[tex]v =8+1.8 \times 7.2\\\Rightarrow v =8+12.96\\\Rightarrow \bold{v =20.96\ m/s}[/tex]
So, the answer is:
20.96 m/s is the final speed.
