what is the velocity of a body moves from rest moves the distance of 10 m. and acceleration 2 m/s/s?
To calculate the velocity of a body moving from rest with a given distance and acceleration, you can use the kinematic equation:
v^2 = u^2 + 2as
Where:
v = final velocity
u = initial velocity (which is zero since the body starts from rest)
a = acceleration
s = distance
Given that the initial velocity (u) is zero, the equation simplifies to:
v^2 = 2as
Plugging in the values:
a = 2 m/s/s
s = 10 m
v^2 = 2 * 2 * 10
Solving the equation:
v^2 = 40
Taking the square root to find v:
v = √40
Calculating the value:
v ≈ 6.32 m/s
So, the velocity of the body after moving a distance of 10 m with an acceleration of 2 m/s/s is approximately 6.32 m/s.