Final answer:
The ratio of the speed of a particle that has fallen a distance of 1.00 m, starting from rest to the speed from part (c) is 1:√19.6/v, where v is the speed from part (c).
Step-by-step explanation:
To find the ratio of the speed of a particle that has fallen a distance of 1.00 m, starting from rest to the speed from part (c), we need to compare their speeds. Assuming that part (c) refers to another given speed, we can calculate the speed of the particle that has fallen using the equation:
speed = sqrt(2gh)
where g is the acceleration due to gravity (9.8 m/s²) and h is the distance fallen (1.00 m). Substituting the values:
speed = sqrt(2 * 9.8 * 1.00) = sqrt(19.6) m/s
Now, to find the ratio, we divide the speed of the fallen particle by the speed from part (c). Let's assume part (c) gave a speed of v m/s:
ratio = speed of fallen particle / v = sqrt(19.6) / v
Therefore, the answer is 1:√19.6/v. Since we don't have the value of v, it is not possible to determine the exact ratio. Hence, the given answer choices (A), (B), (C), and (D) are incorrect.