Question

a car has a velocity of 10m/s it now accelerate at1m/s square for 1/4m find the distance travelled In this time and the final speed of the car

Answer 1

d = 10 t + (1/2)(1) t^2

I do not trust your d =1/4 m so you solve for t
maybe you mean 1/4 minute
beats me
if so 1/4 min = 15 seconds
then
v = 10 + 1 m/s^2 * 15 s = 25 m/s