an arrow is shot vertically upward after 2s it is at a height of 36m although this is not necessarily the highest point with what velocity was the arrow shot what is the maximum height reached by the arrow how long is the arrow in flight altogether

Answer 1

the average velocity is
... 36 m / 2 s = 18 m/s

gravity has slowed decelerated) the arrow by ... 9.8 m/s² * 2 s = 19.6 m/s

[v + (v - 19.6)] / 2 = 18
... v = 27.8 m/s (launch velocity)

time to peak is
... 27.8 m/s / 9.8 m/s²

peak height is
... time to peak * 27.8 / 2

flight time is
... time to peak * 2