If the initial velocity of the car in the previous problem (the car accelerates at 5.00 km/hr/s for 3.50 sec) is 22.6 km/hr, what is the final velocity of the car?

vf=vi+at

2568.2465

To find the final velocity of the car, we can use the formula for calculating the final velocity using initial velocity, acceleration, and time:

Final velocity = Initial velocity + (Acceleration × Time)

Given:
Initial velocity (u) = 22.6 km/hr
Acceleration (a) = 5.00 km/hr/s
Time (t) = 3.50 sec

We need to convert the units of acceleration and time to match the units of the initial velocity. Let's convert acceleration from km/hr/s to km/hr/hr:
1 km/hr/s = 1 km/hr/(1/3600 hr) = 3600 km/hr²

Now, let's substitute the values into the formula:
Final velocity = 22.6 km/hr + (5.00 km/hr/s × 3.50 sec)
Final velocity = 22.6 km/hr + (5.00 × 3600 km/hr² × 3.50 sec)
Final velocity = 22.6 km/hr + (5.00 × 3600 km/hr² × 3.50 sec)
Final velocity = 22.6 km/hr + 63000 km/hr² × sec
Final velocity = 22.6 km/hr + 63000 km/hr × 3.50 sec
Final velocity = 22.6 km/hr + 220500 km/hr*sec
Final velocity = 22.6 km/hr + 220500 km/hr
Final velocity = 220522.6 km/hr

Therefore, the final velocity of the car is 220,522.6 km/hr.