Recent content by nebullient

How did you determine this?

##\sqrt {x^2 + y^2}##

Yes, but I wrote the second equation differently.

I can't think of anything else :( Is it that the vertical displacement must be greater than R? I used ##d_y = -R## because the ball is initially at rest and it falls to the ground.

But the horizontal displacement must be greater than R for the ball not to hit the rock...

Homework Statement A person standing at the top of a hemispherical rock of radius R kicks a ball (initially at rest on the top of the rock) to give it horizontal velocity ##v_i##. What must be its minimum initial speed if the ball is never to hit the rock after it is kicked? Homework Equations...

I agree, which is why I used another formula (see the original post). I just wanted to know why this formula wasn't working, because it should have.

@jbriggs444 Wow, it really was due to rounding! I carried it out to three decimal places and I got the correct answer. Thank you so much! I've been stuck on this for so long; this truly shows the importance of using exact values. :smile:

Hi, BvU! Thank you for the welcome :) I used that value for part b though, and I got it right? And yes, I did use 0.3 m/ft for part b.

Homework Statement In microgravity astronaut training and equipment testing, NASA flies an aircraft along a parabolic flight path. The aircraft climbs from 24,000 ft to 31,000 ft, where it enters a parabolic path with a velocity of 143 m/s nose high at 45.0° and exits with velocity 143 m/s at...