The angle of projection for which maximum height is equal to the range covered will be? a)76 deg. b)tan-4. c)both
1 Answer
Arctan 4 = 76 degrees
Explanation:
The explanation involves using the position equation for both horizontal and vertical directions, evaluating height and range and setting them equal.
The position equation is
s(t) =
which for horizontal and vertical directions reduces to
solving for time of flight (tof) which is when
Range =
Range =
Height =
Height =
Set these 2 expressions equal to get
which simplifies to .....
sinx /2 = 2 cosx
tan x = 4
x = arctan 4 = 75.9 degrees