To find the value of acceleration, we can use the kinematic equation that relates final velocity (v), initial velocity (u), acceleration (a), and time (t):
v = u + at
In this case, the car's initial velocity (u) is 30 m/s, the final velocity (v) is 0 m/s (as it comes to a stop), and the time (t) is 30 seconds. We want to find the acceleration (a).
Substituting the given values into the equation, we have:
0 = 30 + a * 30
Simplifying the equation further:
0 = 30 + 30a
Rearranging the equation to isolate the acceleration term:
30a = -30
Dividing both sides of the equation by 30:
a = -1 m/s²
Therefore, the value of acceleration is -1 m/s². The negative sign indicates that the acceleration is in the opposite direction of the initial velocity, indicating deceleration or slowing down.