A particle starts from rest and moves with a constant acceleration of 0.5 ms^{-2}? Calculate the time taken by the particle to cover a distance of 25m.

Answer Details

The formula to calculate the distance covered by an object with constant acceleration is:
distance = (initial velocity * time) + (0.5 * acceleration * time^2)
Here, the particle starts from rest, which means its initial velocity (u) is 0. The acceleration (a) is given as 0.5 ms^-2, and the distance covered (s) is 25m. So we can rewrite the formula as:
25m = (0 * t) + (0.5 * 0.5 ms^-2 * t^2)
Simplifying:
25m = 0.25 * t^2
t^2 = 100
t = sqrt(100) = 10s
Therefore, the time taken by the particle to cover a distance of 25m is 10 seconds.
Hence, the correct answer is 10.0s.