t     x     y   vx    vy
  1  0.00 0.000 0.425   NA    NA
  2  0.05 0.010 0.420 0.25 -0.15
  3  0.10 0.025 0.410 0.35 -0.30
  4  0.15 0.045 0.390 0.45 -0.45
  5  0.20 0.070 0.365 0.60 -0.50
  6  0.25 0.105 0.340 0.75 -0.65
  7  0.30 0.145 0.300 0.85 -0.75
  8  0.35 0.190 0.265 0.95 -0.85
  9  0.40 0.240 0.215 1.10 -1.05
  10 0.45 0.300 0.160 1.20 -1.15
  11 0.50 0.360 0.100 1.30 -1.20
  12 0.55 0.430 0.040   NA    NA

Horizontal Mass

Coefficients of the horizontal mass

              Estimate Std. Error   t value     Pr(>|t|)
  (Intercept)     0.12 0.01322876  9.071147 1.748825e-05
  t               2.40 0.04264014 56.284989 1.101879e-11

Initial velocity of the horizontal mass
\[ v_x = 0.12 \pm 0.013 \frac{m}{s} \] Acceleration of the horizontal mass \[ a_x = 2.4 \pm 0.043 \frac{m}{s^2} \]

Hanging Mass

Coefficients of the vertical mass

                 Estimate Std. Error   t value     Pr(>|t|)
  (Intercept) -0.05333333 0.02298990  -2.31986 4.893015e-02
  t           -2.36969697 0.07410315 -31.97836 9.958283e-10

Initial velocity of the vertical mass
\[ v_y = -0.053 \pm 0.023 \frac{m}{s} \] Acceleration of the vertical mass \[ a_y = -2.37 \pm 0.074 \frac{m}{s^2} \]