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for a stone thrown from a tower of unknown height the maximum range for a projection speed of 10 m/s is obtained for a projection angle of 30 degree. the corresponding distance between the foot of the tower and the point of landing of stone is

for a stone thrown from a tower of unknown height the maximum range for a projection speed of 10 m/s is obtained for a projection angle of 30 degree. the corresponding distance between the foot of the tower and the point of landing of stone is

Grade:11

1 Answers

Vikas TU
14149 Points
7 years ago
let height be h,
 
in  x directn.
x = 10cos30*t ….............(1)
 
in y direcn.
h = 10sin30*t – 0.5gt^2............(2)
put eqn.(!) in (2) .i.e subsitiute value of t
and  then differnetiate x keeping h constant and equate it to zero and solve for x.

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