Question

a sprinter in a 100-m race accelerates uniformly for the first 35 m and then runs with constant velocity. if the sprinter’s time for the first 35 m is 5.4 s, determine (a) his acceleration, (b) his final velocity, (c) his time for the race.

Answer 1

The time for the race is undefined.

Step-by-step explanation:

To determine the sprinter's time for the race, we need to calculate the time it takes for him to travel the remaining 65 meters at a constant velocity. We know that he accelerates uniformly for the first 35 meters, so we can use the formula:

t = √(2d / a)

where t is the time, d is the distance, and a is the acceleration. Plugging in the given values, we have:

t = √(2(65-35) / a)

Since the sprinter reaches a constant velocity after the first 35 meters, his acceleration is zero. Therefore, the equation simplifies to:

t = √((2(65-35)) / 0)

Division by zero is undefined, so the time for the race is undefined.