Find minimum initial velocity of object

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SUMMARY

The discussion focuses on calculating the minimum initial velocity required for a ball to clear a semicircular mound with radius R, using only horizontal velocity. The participant initially applied the formula v=d/t, substituting R for d, and derived t=R/v. They then used the equation Δd=vt+0.5at² to solve for velocity, arriving at v=√(4.9R). However, they expressed uncertainty about the correctness of this approach and suggested that a formula related to circular motion might be more appropriate.

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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
"[tex]\Delta[/tex]d=vt+.5at[tex]^{2}[/tex]. with this i just solved for v and i got v=[tex]\sqrt{4.9R}[/tex]. 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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