An Olympic cyclist has reached the final 100 meters of their race, and decides to speed up in an effort to beat their personal best time. The cyclist knows that if they can complete the final 100 metres of the race in 3.5 seconds or less, they will have accomplished this goal. The cyclists continues to speed up for the remainder of the race and observe their speedometer recording the following velocities, where time is measured in seconds from the moment they are 100 m from the finish line: velocity [m/s] 25 29 31 32 time [s] 0 1 2 3 Did the cyclist beat their personal best time? Do your calculations in such a way that you can be sure of your final conclusion, and explain why you are sure. (Use overestimates or underestimates as needed.)