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A projectile is fired at an angle of 300 to the horizontal such that the vertical component of its initial velocity is 80 ms-1 . Its time of flight is T. Its velocity at t = T/4 has a magnitude of nearly 

a
200 ms-1
b
300 ms-1
c
100 ms-1
d
None of these

detailed solution

Correct option is D

tan30°=uyux∴  13=80ux or ux=803 ms-1T=2uyg=2×8010=16 sAt   t=T4=4 s⇒vx=ux=803 ms-1 and vy=uy+ayt or   vy=80+(-10)(4)=40 ms-1∴    Velocity  =803)2+(40)2=144.2 ms-1

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