A block moving along the x-axis with an initial velocity 2.0m/s is subjected to

Question

A block moving along the x-axis with an initial velocity 2.0m/s is subjected to a constant force 2.0N along the x-axis starting at t=0s.
(a) if subsequent acceleration of the block is 4.0m/s^2 , what is the mass of the block?
(b) what are the velocity and displacement of the block at t=4.0s?
(c) what is the displacement of the block when its velocity is 20.0m/s?
(d) if now a second force of 3.0N is applied to the block along the y-axis in addition to the 2.0N force along the x-axis, what will be the magnitude and direction of the new acceleration?

Explanation / Answer

a) acceleration*mass = force

mass = .5

b) velocity:

v = u+at

v = 18

displacement :

h = ut + .5at^2

h = 40

c) 20 = 2 + 4t

t = 4.5

h = 49.5

d) resultant forcce = 3.6 in direction 45 degree to x axis,

so resulant acceleration = 7.2 in direction 45 degree to x axis,

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