A projectile is thrown with a speed u at angle ‘θ’ above an inclined plane of inclination 'β'. The angle ‘θ’ at which the projectile is thrown such that it strikes the inclined plane normally is

Question

A projectile is thrown with a speed u at angle ‘θ’  above an inclined plane of inclination 'β'. The angle ‘θ’ at which the projectile is thrown such that it strikes the inclined plane normally is

Infinity Learn · Accepted Answer

Time of $$flight=T=2usin$$θgcosβ                  $$_$$ $$_$$ $$_$$ $$_(1)$$ ‘If it strikes the inclined plane normally  then component of velocity along the plane $$=vx=$$ $$0$$ we know,     $$vx=ux+at$$  subtitute $$vx=ucos$$θ−(gsin$$β$$)t$$ $$t=ucos$$θgsinβ                                            −−−−−− $$2$$  Equating $$(1) & (2)  $$2usin$$θgcosβ$$=ucos$$θgsinβ $$2tan$$β $$=$$ $$cot$$θ θ$$=$$ $$cot$$−$$1(2tan$$β$$)$$

A projectile is thrown with a speed u at angle $‘ θ ’$ above an inclined plane of inclination $' β'$ . The angle $‘ θ ’$ at which the projectile is thrown such that it strikes the inclined plane normally is

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