Situation $2$: A couple of physics students, using their new knowledge of motion, are attempting to measure the speed at which they can throw a ball. One student stands against a wall with a long ruler taped vertically so they can measure the height of the ball. The student throws the ball straight up into the air. A friend, watching the throw, saw the ball leave the student's hand about $1\mathrm{.}2$ meters above the ground. When the ball left the student's hand, the observer started a timer. It took $5\mathrm{.}3$ seconds for the ball to hit the ground. In class, the students had learned that the speed of a falling object changes by $9\mathrm{.}8$ meters per second each second due to the pull of gravity. Using this number for the acceleration of the ball along with their measurements, they calculated ball's starting speed was $25\mathrm{.}7$ meters per second $($assume this is correct$).$ Then, they calculated the speed of the ball just before it hit the ground. They calculated the speed of the ball was $24\mathrm{.}4$ meters per second. Explain in detail why this speed does, or does not make sense.