Final answer:
After 5.9 seconds of acceleration at a rate of 5 m/s² from an initial speed of 10 m/s, the car would reach a final speed of 39.5 m/s.
Step-by-step explanation:
The question deals with the concept of acceleration in physics and asks about the final speed of a car after a certain time interval, given an initial speed and a constant acceleration. To solve this, one could use the kinematic equation: final velocity (v) = initial velocity (u) + acceleration (a) × time (t). In the given case, the initial speed (u) is 10 m/s, the acceleration (a) is 5 m/s², and the time (t) is 5.9 seconds.
Using the kinematic equation:
v = u + at
v = 10 m/s + (5 m/s² × 5.9 s)
v = 10 m/s + 29.5 m/s
v = 39.5 m/s
So, after 5.9 seconds, the car would be traveling at a final speed of 39.5 m/s.