User:Egm6321.f12.team5.yi/report5

Given
Consider the following integrals: Let n=3, a=2, b=10.

Find
For each value fo time t, solve for altitude z(t), then plot z(t) versus t, Find the time when the projectile returns to the ground.

Solution
Since n=3, a=2, b=10, combine (5.11.1) and (5.11.2) into:

Because

(5.11.3) can be rewritten as:

Let z=0 when t=0, we can easily find the value of k equals to zero.

So we can solve for altitude z(t) in Matlab: