Horizontal and Vertical Components of Projectile Motion
Find how the ...
Question
Find how the tangential acceleration ωτof the balloon depends on the height of ascent.
A
ωτ=2a2y√1+(ayv0)2
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B
ωτ=a2y√1+(ayv0)2
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C
ωτ=a2y√1+(2ayv0)2
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D
ωτ=a2y2√1+(ayv0)2
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Solution
The correct option is Cωτ=a2y√1+(ayv0)2 We have tanθ=vyvx=voay We have acceleration in the vertical direction as ay=0 and ax=dvxdt=adydt=avy=avo Thus anet=avo So we get the tangential component of acceleration as at=anetcosθ=avo×ay√v2o+(ay)2=a2y√1+(ayvo)2