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?

17.6 km/hr
27.6 km/hr
40.1 km/hr
18.9 km/hr

Every second, the velocity increases by 5 km/h

so after 3.5 seconds, the increase will be 3.5(5) or 17.5 km/h
but it was already going 22.6 km/h, so .....

To find the final velocity of the car, we can use the equation:

Final velocity (v) = Initial velocity (u) + (Acceleration (a) * Time (t))

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

Converting the units:
Acceleration (a) = 5.00 km/hr/s * (1 hr / 3600 sec) = 0.00139 km/s^2

Substituting the values into the equation:
Final velocity (v) = 22.6 km/hr + (0.00139 km/s^2 * 3.50 sec)

Calculating:
Final velocity (v) = 22.6 km/hr + 0.00486 km/s

Final velocity (v) = 22.60486 km/hr

Therefore, the final velocity of the car is approximately 22.60 km/hr, which can be rounded to 22.6 km/hr.

To find the final velocity of the car, we can use the equation of motion:

Final Velocity = Initial Velocity + (Acceleration x Time)

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

First, we need to convert the initial velocity from km/hr to km/s by dividing it by 3600 (since there are 3600 seconds in an hour):

Initial Velocity (u) = 22.6 km/hr ÷ 3600 = 0.00628 km/s

Next, we can substitute the values into the equation:

Final Velocity = 0.00628 km/s + (5.00 km/hr/s x 3.50 sec)

To simplify, multiply the acceleration by the time:

Final Velocity = 0.00628 km/s + (17.5 km/hr)

To convert the sum back to km/hr, we add the initial velocity:

Final Velocity = 0.00628 km/s + 17.5 km/hr = 17.50628 km/hr

Rounding the final velocity to the nearest tenth, we get:

Final Velocity ≈ 17.5 km/hr

Therefore, the closest answer from the given options is 17.6 km/hr.