Final answer:
To find the final velocity of the go-cart, the formula v_f = vi + at was used. With an initial velocity of 32 m/s, deceleration of -1.5 m/s², and time of 10.8 s, the final velocity was calculated to be 15.8 m/s, which does not match the provided options.
Step-by-step explanation:
To calculate the final velocity of the competitive go-cart driver after slowing down, we can use the formula for final velocity (vf) which is given by:
vf = vi + at
where:
vi = initial velocity (32 m/s)
a = acceleration (-1.5 m/s², since the driver is slowing down)
t = time (10.8 s)
Plugging the values into the formula, we get:
vf = 32 m/s + (-1.5 m/s² * 10.8 s)
vf = 32 m/s - 16.2 m/s
vf = 15.8 m/s
Nevertheless, this value does not match any of the options provided. There might have been a typo in the options or calculations made within the question. Therefore, we should re-check the given values and calculations.