Answer:
The acceleration is: [tex]4m/s^2[/tex]
Explanation:
Given
[tex]u = 30.0m/s[/tex] --- The initial velocity
[tex]t = 7.5s[/tex] --- time
[tex]v = 0m/s[/tex] -- The final velocity
Required
Determine the acceleration
To do this, we make use of the first equation of motion
[tex]v = u - at[/tex]
We used negative because the car was coming to stop.
This gives:
[tex]0 = 30 - 7.5 * a[/tex]
[tex]0 = 30 - 7.5a[/tex]
Collect like terms
[tex]7.5a = 30[/tex]
Solve for a
[tex]a = \frac{30}{7.5}[/tex]
[tex]a = 4m/s^2[/tex]