Find initial velocity given acceleration & distance, no time

AI Thread Summary
To find the initial velocity of a frog jumping to a height of 1 meter with an acceleration of -9.8 m/s², the equation V² = 2ad can be applied. Using this formula, the final velocity at the peak height (where velocity is zero) can be calculated. The attempt to derive time from acceleration and distance was incorrect, as the relationship between these variables requires the correct application of kinematic equations. The discussion highlights the importance of using appropriate equations to solve for initial velocity without needing time. Overall, the key takeaway is to utilize the correct kinematic equation for accurate calculations.
brendonsushi
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Homework Statement


Frog jumps in air to 1m height. Neglecting air resistance find initial speed the instant it leaves the ground.
a= -9.8m/s^2
d= 1m
vi=?

Homework Equations


d=1/2(vf+vi)t
d=1/2at^2 + vi(t) + di

The Attempt at a Solution


I figured that since acceleration is 9.8m/s, I could just find time by dividing 9.8m/s by 9.8 and that would give me 1m/0.1s, but that doesn't seem quite right. I then proceeded to put the acceleration, distance, and "time" values into d=1/2at^2 + vi(t) + di, so that vi=0.9m/s^2, but I don't think I did it right. Is there any way to just find initial velocity with only acceleration and distance values?
 
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Hi brendon:

I think you are missing a useful equation. V2 = 2 a d.

Hope this helps.

Regards,
Buzz
 
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