Final answer:
It takes approximately 5.67 seconds for a car to accelerate from an original speed of 8.0m/s to a final speed of 25.0m/s with an acceleration rate of 3.0m/s².
Step-by-step explanation:
To calculate how many seconds it will take for a car that accelerates at a rate of 3.0m/s² to increase its speed from an original speed of 8.0m/s to a final speed of 25.0m/s, we use the formula for acceleration: a = (v_f - v_i) / t, where a is the acceleration, v_f is the final velocity, v_i is the initial velocity, and t is the time it takes to reach the final velocity.
Let's rearrange the formula to solve for time (t):
t = (v_f - v_i) / a.
Now substitute the given values:
t = (25.0m/s - 8.0m/s) / 3.0m/s².
This yields:
t = (17.0m/s) / 3.0m/s².
t = 5.67 seconds.
Therefore, it will take approximately 5.67 seconds for the car to reach the final speed of 25.0m/s from an initial speed of 8.0m/s, with an acceleration of 3.0m/s².