initial velocity and maximum height

[reburbia]

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A ball is thrown up into the air, and the question asks how does initial vertical velocity change with maximum height.

The answer goes from the equation, Vf^2 = Vi^2 + 2ad. They say that since Vi is proportional to the square root of "d", then they relate to each other in a parabolic curve.

Totally fine, but why can't you use the d=Vi*t + 1/2at^2??? In this latter equation, it seems like d and initial velocity relate to each other in a 1:1 fashion.

 

[MedPR]

A ball is thrown up into the air, and the question asks how does initial vertical velocity change with maximum height.

The answer goes from the equation, Vf^2 = Vi^2 + 2ad. They say that since Vi is proportional to the square root of "d", then they relate to each other in a parabolic curve.

Totally fine, but why can't you use the d=Vi*t + 1/2at^2??? In this latter equation, it seems like d and initial velocity relate to each other in a 1:1 fashion.

If you don't know t, you can't use the second equation.

 

[411309]

also you can find time it requires to reach maximum height by t=Vint/acceleration

 

[Class1P]

also you can find time it requires to reach maximum height by t=Vint/acceleration

just remember that Vint has to be in the verticle direction. So, remember to take the Sine of the angle if it is at an angle.