A particle start from rest and moves with a constant acceleration of 0.5ms.calculate the time taken by the particle to cover a distance of 25m
To calculate the time taken by the particle to cover a distance of 25m, we can use the formula for distance:
Distance = (Acceleration * Time^2) / 2
We can rearrange the formula to solve for time:
Time = sqrt((2 * Distance) / Acceleration)
Plugging in the given values, we have:
Time = sqrt((2 * 25) / 0.5)
= sqrt(100)
= 10
Therefore, the time taken by the particle to cover a distance of 25m is 10 seconds.
v = initial velocity Vi + a * t
x = initial position Xi + Vi t + (1/2) a t^2
here Vi = 0 given
distance = x - Xi = (1/2) a t^2
25 = (1/2) (0.5) t^2
100 = t^2
t = 10 seconds