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The velocity of the projectile whenit is at the greatest height is root over 2/5 times its velocity when it is at half of its greatest height. Determine its angle of projection.

bharath devasani , 15 Years ago
Grade 12
anser 2 Answers
HRIDAM BASU

At the highest point,  v=vx

At half the highest point,  vy2=u2sin2θ -2g(h/2)

vx=ucosθ  ,  so, v2=(vx2+vy2)=u2-gh

By ques,   u2cos2θ=(2/5)(u2-gh)

So, θ= cos-1√(2/5)(1-gh/u2)   

Last Activity: 15 Years ago
Shrey Sharma
We know that time taken by any body to fall equal heights is in ratio 1:(sqrt2-1)Using this;v= y component of velocity at half the height v=u sin(thetha) -{gt(sqrt2-1)/sqrt2}and by calculating from v^2-u^2= 2as;gt=u sin(thetha);and v^2+u^2cos^2(thetha)=(5/2)u cos(thetha)Therefore thetha is equal to 60
Last Activity: 8 Years ago
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