Find minimum initial velocity of object

AI Thread Summary
To determine the minimum initial velocity for a ball to clear a semicircular mound, the problem involves analyzing projectile motion. The key is to ensure that the ball has enough horizontal velocity to reach the edge of the mound without descending too low. The user attempted to apply the formula v = d/t, substituting the radius R for distance, and derived a velocity of v = √(4.9R). However, there is a suggestion that a circular motion formula may be more appropriate for this scenario. Clarification on the correct approach is sought to confirm or correct the initial calculations.
rajesan
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Homework Statement


Find the minimum initial velocity needed for a ball starting from the middle-top (highest point) of a semicircular mound with radius R to go over without touching the mound if the initial velocity has only a horizontal component.

Homework Equations



v=d/t

The Attempt at a Solution


this was a question on a test i just had. i didn't have time to prepare to well for this test so i have no idea how i did. i just used the formula v=d/t and substituted the variable R (radius) for d. then i solved fort which equaled t=R/v. then i plugged this value of t into the formula
"\Deltad=vt+.5at^{2}. with this i just solved for v and i got v=\sqrt{4.9R}. I am pretty sure it is wrong and that i was supposed to use some formula for circular motion or something. could you please help me figure this question out?
 
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