If a ball has an initial downward speed of 24 m/s, how far does the ball drop during the 4 s to 5 s interval?

at 4s, the speed is 24 + 4g

at 5s, the speed is 24 + 5g

so the average speed over the interval (for one second) is 24 + 4.5g

the distance is the speed times the time