Zero Launch Angle: Vox and Angle

Click For Summary
SUMMARY

The discussion centers on calculating the release height of a basketball thrown horizontally at an initial speed of 4.20 m/s, resulting in a landing point that forms a 30.0° angle with the horizontal. The initial vertical speed (Voy) is 0 m/s, and the vertical acceleration (Ay) is -9.81 m/s². The calculated height using the attempted solution was 0.298 m, but the correct height, according to the back of the book, is 1.20 m, indicating a misunderstanding of the relationship between angles and distances in projectile motion.

PREREQUISITES
  • Understanding of basic projectile motion principles
  • Familiarity with trigonometric functions, specifically tangent
  • Knowledge of kinematic equations for uniformly accelerated motion
  • Ability to interpret angles in the context of horizontal and vertical components
NEXT STEPS
  • Study the relationship between angles and distances in projectile motion
  • Learn about the derivation and application of kinematic equations
  • Explore the concept of vector components in physics
  • Review examples of horizontal projectile motion problems
USEFUL FOR

Students studying physics, educators teaching projectile motion, and anyone interested in understanding the mechanics of basketball trajectories.

SteveThePharmer
Messages
3
Reaction score
0

Homework Statement



A basketball is thrown horizontally with an initial speed of 4.20 m/s. A straight line drawn from the release point to the landing point makes an angle of 30.0° with the horizontal. What was the release height?

Vox=4.20 m/s=Vx Ax=0
Voy=0 m/s Ay=-9.81 m/s^2
Theta=180*-30.0* = 150*
Height=?

Homework Equations



tan [Theta] = (Vy/Vx)
Vy^2=Voy^2+2a[delta]y

The Attempt at a Solution



Tan[theta] x Vx = Vy
Tan 150* x 4.20 m/s = Vy = -2.42 m/s

Vy^2 = Voy^2 + 2a[delta]y; Voy=0
Vy^2 / 2a = [delta]y

(-2.42 m/s)^2 / -2(9.81m/s^2) = [delta]y = -0.298m

Which gives a height = 0.298m. So I must have done something wrong?

back of the book says answer should be 1.20m
 
Last edited:
Physics news on Phys.org
SteveThePharmer said:
tan [Theta] = (Vy/Vx)
That should be in terms of distances, not speeds: tan(theta) = Y0/x.
 

Similar threads

Replies
11
Views
2K
  • · Replies 14 ·
Replies
14
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
Replies
4
Views
15K
Replies
10
Views
4K
Replies
5
Views
6K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 36 ·
2
Replies
36
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K