Could someone check my work on this vector assignment question?

[Sullivan]

Would anyone willing to check my work on this vector question?

I have an assignment due in a few days and was just wondering if someone could look over one of the questions from this assignment and see if I've done it correctly, as I still don't feel entirely confident with this yet.

So the question is: A baseball, thrown from the ground, lands on top of a building that is 15.5 m tall. If the ball is thrown at 22.0 m/s at an angle of 58.0° above the horizontal, find each of the following:

a) horizontal and vertical components of initial velocity

Vo= 22.0 m/s, so Voy=22sin(58)=18.7 m/s, and Vox=22cos(58)=11.7 m/s

b) final vertical velocity

Vfy^2=Voy^2+2AyΔXy
= 18.7^2 + 2(-9.8)(15)
= +/- sqrt(55.69)
Vfy = -7.46 m/s

c) time of flight

a=v/t therefore t=v/a
t= -7.46-18.7/-9.8
t= 2.67s

d) horizontal displacement

ΔXx=Vox*t+(1/2*Ax*t^2)
=11.7*2.67+0
ΔXx=31.2m

e) final vector velocity (HINT: Use both vertical and horizontal components)

Vf^2 = Vfy^2+Vfx^2
Vf=-13.88 m/s

f) maximum height reached above the ground
Set Vfy=0
-Voy^2/2Ay=ΔXy
-(18.7^2)/(2*-9.8)=ΔXy
17.8m=ΔXy

 

[Regtic]

If you want people to go over your work for you with their free time you should at least put it in proper mathematical equation format so it's easy to read.

Read this https://www.physicsforums.com/showpost.php?p=3977517&postcount=3