A question from my pre-unit test review(adsbygoogle = window.adsbygoogle || []).push({});

A ball is projected from point A with an intial velocity Vo, which is perpendicular to the incline shown. Knowing that the ball strikes the incline at B, determine the range R in terms of Vo and β.

Diagram can be seen here:

http://img146.imageshack.us/img146/3231/projectile001xu5.jpg [Broken]

I drew the delta X/Y, and 90-β

I did some calculations(very messy), still confused about it though

For typing purposes I used V1 for Vo

V1y = V1sin(90-β)

V1x = V1cos(90-β)

First I tried to find time:

y = V1yt + 1/2ayt²

0 = V1sin(90-β)t + 1/2(-9.8)t²

V1sin(90-β)t = 4.9t²

t = V1sin(90-β) / 4.9

Horizontal range:

x = V1xt

x = [V1cos(90-β)] [V1sin(90-β) / 4.9]

Finding R:

cosβ = X / R

cosβ = [V1cos(90-β)] [V1sin(90-β) / 4.9] / R

cosβ = [V1cos(90-β)V1sin(90-β) / 4.9R]

This looks really messed up can someone check my work please.....if its too messy to read I'll write it out on request and scan it

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# Projectile Motion Ball Calculation

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