Final answer:
Using the formula for acceleration, the car will be going at 29.5 m/s after accelerating at 3.5 m/s² for 7 seconds from an initial velocity of 5 m/s.
Step-by-step explanation:
If a car has an initial velocity of 5 m/s and accelerates at a rate of 3.5 m/s2 for 7 seconds, we can calculate the final velocity using the formula of acceleration: final velocity = initial velocity + (acceleration × time). In the example, the final velocity would be calculated as follows: final velocity = 5 m/s + (3.5 m/s2 × 7 s), final velocity = 5 m/s + 24.5 m/s, final velocity = 29.5 m/s. Therefore, after speeding up for 7 seconds, the car will be going at a speed of 29.5 m/s.