Answer:
x(t) = 2.4525 t -0.6131 × ( 1 - )
t = 408 second
Explanation:
given data
mass m = 10 kg
height x(t) = 1000 m
b = 40 N-s/m
acceleration due to gravity g = 9.81 m/s²
solution
we know here that equation of motion here v(t) is express as
......................1
and
x(t) will be express here as
.......................2
now put here value in equation 2 and we will get
x(t) =
x(t) = 2.4525 t -0.6131 × ( 1 - )
and
now we get here time t after object hit 1000 m by height
put here value x(t) we get t
1000 = 2.4525 t -0.6131 × ( 1 - )
solve it and we get by neglecting
t = 408 second