A snowboarder is on the right edge of a halfpipe, just about to propel himself i

Question

A snowboarder is on the right edge of a halfpipe, just about to propel himself into the air. Immediately before leaving the halfpipe

A snowboarder is on the right edge of a halfpipe, just about to propel himself into the air. Immediately before leaving the halfpipe's edge, the snowboarder experiences a tangential acceleration of at ft/s2 and a total acceleration of a ft/s2 . The halfpipe has a radius of R ft (at, a and R are all specified in the problem). What is his tangential speed at this instant?

Explanation / Answer

tangential acceleration at => 10ft/s2

total acceleration a => 22 ft/s2.

Centripeatl acclerartion an => ?[ a ^ 2 - at ^ 2]

=> 19.595 ft/ s^ 2

a total = root (an^2 + at^2)

we know an = v ^ 2/ r

where r = radius => 18 ft

from this v ^ 2 => an x r

=> 352.72

tangential speed at this instant v => ?[ 352.72]

=> 18.78 ft / s

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