A projectile is fired at an angle of $$30o$$ to the horizontal such that the vertical component of initial velocity is $$80m/s$$. its time of fight is T. Its velocity at $$t=T/4$$ has a magnitude of nearly

Question

A projectile is fired at an angle of  $$30o$$ to the horizontal such that the vertical component of initial velocity is $$80m/s$$.  its time of fight is T. Its velocity at  $$t=T/4$$ has a magnitude of nearly

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given angle of projection $$=$$θ$$=300$$; vertical component of initial velocity $$=uy=80$$ $$m/s$$;we know,      $$uxuy=$$$$cot$$⁡$$30$$∘$$ux80=3ux=803m/$$ stime of $$flight=$$ $$T=2uyg=2$$×$$8010$$∴$$T=16s$$ At $$t=T4=4s$$,$$ux=vx=803m/svy=uy-gt$$    substitute obtained values,$$vy=80$$−$$10$$×$$4=40m/sv=vx2+vy2$$∴$$v=(803)2+(40)2$$≈$$144m/s$$

A projectile is fired at an angle of $30^{o}$ to the horizontal such that the vertical component of initial velocity is $80 m / s .$ its time of fight is T. Its velocity at $t = T / 4$ has a magnitude of nearly

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A projectile is fired at an angle of 30o to the horizontal such that the vertical component of initial velocity is 80m/s. its time of fight is T. Its velocity at t=T/4 has a magnitude of nearly

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A projectile is fired at an angle of $30^{o}$ to the horizontal such that the vertical component of initial velocity is $80 m / s .$ its time of fight is T. Its velocity at $t = T / 4$ has a magnitude of nearly