A body travelled from rest with acceleration 8m/s-2 find its velocity if the distance is 100m
To find the velocity of the body, we can use the equation of motion:
v^2 = u^2 + 2as
where:
v = final velocity
u = initial velocity (in this case, since the body started from rest, the initial velocity is 0)
a = acceleration
s = distance
In this case, the body started from rest, so the initial velocity (u) is 0. The acceleration (a) is given as 8 m/s^2, and the distance (s) is 100 m.
Plugging in these values into the equation, we have:
v^2 = 0^2 + 2(8)(100)
Simplifying further:
v^2 = 0 + 1600
v^2 = 1600
To find the value of v, we take the square root of both sides:
v = √1600
v = 40 m/s
Therefore, the velocity of the body is 40 m/s.