Final answer:
To find the time it takes for a car to stop from a speed of 24 m/s with an acceleration of -0.8 m/s², we use the formula for acceleration. After solving, the time comes out to be 30 seconds, making option a) the correct answer.
Step-by-step explanation:
The question asks about the time it will take for a car traveling at a speed of 24 m/s to come to a stop if its acceleration is -0.8 m/s². To calculate the time, we can use the formula for acceleration:
a = (v_f - v_i) / t
Where a is the acceleration, v_i is the initial velocity, v_f is the final velocity, and t is the time. Since the car comes to a stop, v_f is 0 m/s, and the initial velocity v_i is 24 m/s. We are given that a is -0.8 m/s² (negative because it's decelerating). Now we solve for t:
0 = 24 m/s + (-0.8 m/s²) * t
t = 24 m/s / 0.8 m/s²
t = 30 seconds
Therefore, the correct answer is a) 30 seconds.