Astudent sits atop a platform a distance h above the ground. he throws a large firecracker horizontally with a speed v. however, a wind blowing parallel to the ground gives the firecracker a constant horizontal acceleration with magnitude a. as a result, the firecracker reaches the ground directly below the student. determine the height in terms of v, a, and g. ignore the effect of air resistance on the vertical motion.

Explanation:

Since fire cracker land at the position just below the student

so we can say that the displacement in X direction must be zero

so we will have

now in the same time it travels in y direction

so the displacement is given as

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day