Answer:
[tex]s = 369.6\ m[/tex]
Explanation:
given,
v(t) = 95 − 9.8 t
time, t= 14 s
velocity is the change in distance of an object in the given interval of time.
[tex]\dfrac{ds}{dt}=95-9.8 t[/tex]
[tex]ds = (95 - 9.8 t)dt[/tex]
integrating both side
[tex]\int ds = \int (95-9.8 t)dt[/tex]
[tex]s = 95 t-9.8\dfrac{t^2}{2}[/tex]
now,
Distance traveled by the object in 14 s
t = 14
[tex]s = 95\times 14-9.8\dfrac{14^2}{2}[/tex]
[tex]s = 369.6\ m[/tex]
Distance traveled by the object is equal to 369.6 m
