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Grade 12Mechanics

Velocity of a stone projected ,2 second before it reaches the maximum height ,make angle 53 degrees with the horizontal then the velocity at highest point will be
  1. 20m/ss
  2. 15m/s
  3. 25m/s
  4. 80/3 m/s

Profile image of Riya Das
7 Years agoGrade 12
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1 Answer

Profile image of Arun
7 Years ago
Dear student
 
 
Acc to ques, 2 seconds before it reaches the maximum height it makes an angle of 53 deg
=> Initial velocity of y-component will be (Uy)=Usin53
=> Initial velocity of x-component will be (Ux)=Ucos53
Therefore, Vy=Uy-gt
               =>0=Usin53-20
               =>U=25m/s
Now, At highest point the y-component velocity is 0, only x-comp velocity exists which remians constant throughout the projectile motion.
Hence, At highest point the overall velocity of stone will be equal to the x-component velocity
ie, Ucos53=25x3/5=15m/s ANSWER

Hope it helps
 
Regards
Arun