the bullet is fired vertically upward from a gun in such a way that it returns to the same height it was?

Question

fired in a time of 10s Detemine the following
1)how fast was the bullet moving at half the maximum height

fired in a time of 10s Detemine the following assuming g= 10m/s
1)how fast was the bullet moving at half the maximum height

assuming g= 10m/s

Answer 1

The apogee will be achieved in 5 seconds so
0=v-50
v=50 m/s

The height is
h=50*5-5*25
=125 meters

so when
y(t)=62.5=50*t-5*t^2
it passes the halfway point at
t= 8.54
t= 1.46
v=50-14.6
35.4 m/s
and
v=50-85.4
-35.4 m/s

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