Zero Launch Angle: Vox and Angle

AI Thread Summary
A basketball is thrown horizontally at 4.20 m/s, landing at an angle of 30.0° with the horizontal. The initial vertical speed (Voy) is 0 m/s, and the vertical acceleration (Ay) is -9.81 m/s². The calculation using the tangent function yields a vertical speed (Vy) of -2.42 m/s, leading to a height of 0.298 m. However, the correct approach should relate the angle to distances rather than speeds, indicating a height of 1.20 m based on the back of the book's solution. The discussion emphasizes the importance of correctly applying trigonometric relationships in projectile motion problems.
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.
 
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Back
Top