Let us say the angle to ground is theta;
Using equation of motion;
`rarr S = ut+1/2at^2`
At horizontal direction a = 0
`2 = 6.8costhetaxxt ----(1)`
`uarr S = ut+1/2at^2`
There is no vertical distance for the whole motion.
`0 = 6.8sinthetaxxt-1/2xx9.81xxt^2`
`2xx6.8sintheta = 9.81t ----(2)`
(1)/(2)
`1/(6.8sintheta) = 6.8costheta/9.81`
`9.81/6.81^2 = sinthetacostheta`
We know that;
`sin(2theta) = 2sinthetacostheta`
`9.81/6.81^2 = sinthetacostheta`
`9.81/6.81^2 = (sin(2theta))/2`
`sin(2theta) = 0.423`
`2theta = sin(-1)(0.423)`
`theta = (sin(-1)(0.423))/2`
`theta = 12.5 deg. ` (for small angles)
So the angle is 12.5 degrees to the ground.
Further Reading
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