Q.

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

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a

200 ms-1

b

300 ms-1

c

100 ms-1

d

None of these

answer is D.

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Detailed Solution

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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