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**1. Homework Statement**

A body of mass m = 10 kg initially at rest has force F = 20Ni + 30Nj applied to it. Find its velocity at t = 3 s

A body of mass m = 10 kg initially at rest has force F = 20Ni + 30Nj applied to it. Find its velocity at t = 3 s

**f=ma**

**3. The Attempt at a Solution**

m(ai,aj) = (20i,30j

m*ai= 20N

m*aj = 30N

ai = 2*m/s^2

aj = 3*m/s^2

to find the velocities of each of the vectors i used dimensional analysis:

vi = (2*m/s^2) * (3*s) = 6m/s

vj = (3*m/s^2) * (3*s) = 9m/s

to find the complete velocity, i now calculate the magnitude of the vectors by the equation:

v = √( vx^2 + vy^2)

v=√(6^2 + 9^2)

v= 10.9 m/s <--- is that right?

m(ai,aj) = (20i,30j

m*ai= 20N

m*aj = 30N

ai = 2*m/s^2

aj = 3*m/s^2

to find the velocities of each of the vectors i used dimensional analysis:

vi = (2*m/s^2) * (3*s) = 6m/s

vj = (3*m/s^2) * (3*s) = 9m/s

to find the complete velocity, i now calculate the magnitude of the vectors by the equation:

v = √( vx^2 + vy^2)

v=√(6^2 + 9^2)

v= 10.9 m/s <--- is that right?