Per Second Per Second

[Fan_in_Kettering]

The acceleration a is considered to be constant at 1 ft/s^2.  To get velocity v we integrate a with respect to time t.

v = INTEGRAL a dt = at + v0 where v0 = initial velocity.

To get position x we integate v with respect to t.

x = INTEGRAL (at + v0)dt = 0.5at^2 +v0t + x0 where x0 = initial position.


t = 0 v = 0 x = 0

t = 1 v = 1 x = 0.5

t = 2 v = 3 x = 2.5

t = 3 v = 6 x = 7

t = 4 v = 10 x = 15

t = 5 v = 15 x = 27.5

t = 6 v = 21 x = 45.5

t = 7 v = 28 x = 70

t = 8 v = 36 x = 102

t = 9 v = 45 x = 142.5

t = 10 v = 55 x = 192.5