Question

When running a 100-meter race Danny reaches his maximum speed 6 seconds after the race started when he is 35 meters from the starting line. Danny runs at this max speed for the rest of the race. Danny is 80 meters from the starting line 11 seconds after the start of the race. What is Danny's max speed? Suppose Danny runs for an additional z seconds after reaching his max speed. How far will Danny travel during those additional z seconds? What is Danny's distance from the starting line 6 + z seconds after the race started? What is Danny's distance from the starting line x seconds after the race started (provided x ≥ 6 )?

Answer 1

His max speed is 9 m/s.

If speed is distance/time, he traveled 80 - 35 = 45 meters in 11 - 6= 5 seconds or 45/5 = 9 m/s

If he runs at 9 meters every second for z seconds, his distance traveled is 9*z or 9z.

His distance 6 + z seconds after the race has started is 35 + 9z.

His distance from the starting line x seconds after the race started is 35 + 9z (after 6 seconds). You can check this because by 11 seconds, he was at 80 meters.

Lol you might have to double check this, but I hope it helped!