Math homework help

89430 assignment
We know rate of change of velocity is acceleration and rate of change of height is velocity.
i.e. dh/dt = v
But a = dv/dt
So integrate to get v = at+initial velocity
i.e v = -32t + 24
(here thrown up so acceleration is negative)
i.e. dh/dt = -32t+24
Substitute in h(t) to get
Or
Where t is in seconds and h is in feet.
Graph showing the position of the particle at time t
X axis shows time in...