A body accelerates uniformly from rest at 2ms-1.calculate the magnitude velocity after traveling 9 metres
To calculate the magnitude velocity of a body that accelerates uniformly, we can use the equation for uniformly accelerated motion:
v² = u² + 2aS
Where:
v = final velocity
u = initial velocity (in this case, the body starts at rest, so u = 0 m/s)
a = acceleration
S = displacement or distance traveled
Given:
u = 0 m/s
a = 2 m/s²
S = 9 m
We can substitute the values into the equation:
v² = 0² + 2(2)(9)
Simplifying:
v² = 0 + 4(9)
v² = 36
Taking the square root of both sides:
v = √36
v = 6 m/s
Therefore, the magnitude velocity of the body after traveling 9 meters is 6 m/s.